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Finding the Fourth Proportional to 18,098.52, 24,977.79 and 10,142.16

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Solution

The fourth proportional to 18,098.52, 24,977.79 and 10,142.16 is: 13,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.52 : 24,977.79 = 10,142.16 : x
  2. Step 2: Convert to fraction form
    18,098.52/24,977.79 = 10,142.16/x
  3. Step 3: Cross multiply
    18,098.52x = 24,977.79 × 10,142.16
  4. Step 4: Simplify right side
    18,098.52x = 253,328,742.63
  5. Step 5: Solve for x
    x = 253,328,742.63/18,098.52
  6. Step 6: Final answer
    x = 13,997.21

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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.