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Finding the Fourth Proportional to 14,591.17, 20,271.75 and 14,416.21

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Solution

The fourth proportional to 14,591.17, 20,271.75 and 14,416.21 is: 20,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.17 : 20,271.75 = 14,416.21 : x
  2. Step 2: Convert to fraction form
    14,591.17/20,271.75 = 14,416.21/x
  3. Step 3: Cross multiply
    14,591.17x = 20,271.75 × 14,416.21
  4. Step 4: Simplify right side
    14,591.17x = 292,241,805.07
  5. Step 5: Solve for x
    x = 292,241,805.07/14,591.17
  6. Step 6: Final answer
    x = 20,028.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.