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Finding the Fourth Proportional to 16,691.52, 23,038.80 and 10,400.16

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Solution

The fourth proportional to 16,691.52, 23,038.80 and 10,400.16 is: 14,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691.52 : 23,038.80 = 10,400.16 : x
  2. Step 2: Convert to fraction form
    16,691.52/23,038.80 = 10,400.16/x
  3. Step 3: Cross multiply
    16,691.52x = 23,038.80 × 10,400.16
  4. Step 4: Simplify right side
    16,691.52x = 239,607,206.21
  5. Step 5: Solve for x
    x = 239,607,206.21/16,691.52
  6. Step 6: Final answer
    x = 14,355.03

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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.