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Finding the Fourth Proportional to 23,266.10, 32,098.51 and 13,700.14

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Solution

The fourth proportional to 23,266.10, 32,098.51 and 13,700.14 is: 18,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,266.10 : 32,098.51 = 13,700.14 : x
  2. Step 2: Convert to fraction form
    23,266.10/32,098.51 = 13,700.14/x
  3. Step 3: Cross multiply
    23,266.10x = 32,098.51 × 13,700.14
  4. Step 4: Simplify right side
    23,266.10x = 439,754,080.79
  5. Step 5: Solve for x
    x = 439,754,080.79/23,266.10
  6. Step 6: Final answer
    x = 18,901.07

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