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Finding the Fourth Proportional to 18,023.04, 24,872 and 10,065.60

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Solution

The fourth proportional to 18,023.04, 24,872 and 10,065.60 is: 13,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,023.04 : 24,872 = 10,065.60 : x
  2. Step 2: Convert to fraction form
    18,023.04/24,872 = 10,065.60/x
  3. Step 3: Cross multiply
    18,023.04x = 24,872 × 10,065.60
  4. Step 4: Simplify right side
    18,023.04x = 250,351,603.20
  5. Step 5: Solve for x
    x = 250,351,603.20/18,023.04
  6. Step 6: Final answer
    x = 13,890.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.