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Finding the Fourth Proportional to 16,420.14, 24,653.02 and 11,410.71

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Solution

The fourth proportional to 16,420.14, 24,653.02 and 11,410.71 is: 17,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.14 : 24,653.02 = 11,410.71 : x
  2. Step 2: Convert to fraction form
    16,420.14/24,653.02 = 11,410.71/x
  3. Step 3: Cross multiply
    16,420.14x = 24,653.02 × 11,410.71
  4. Step 4: Simplify right side
    16,420.14x = 281,308,461.84
  5. Step 5: Solve for x
    x = 281,308,461.84/16,420.14
  6. Step 6: Final answer
    x = 17,131.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.