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Finding the Fourth Proportional to 23,693.73, 32,686.16 and 14,128.17

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Solution

The fourth proportional to 23,693.73, 32,686.16 and 14,128.17 is: 19,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693.73 : 32,686.16 = 14,128.17 : x
  2. Step 2: Convert to fraction form
    23,693.73/32,686.16 = 14,128.17/x
  3. Step 3: Cross multiply
    23,693.73x = 32,686.16 × 14,128.17
  4. Step 4: Simplify right side
    23,693.73x = 461,795,625.13
  5. Step 5: Solve for x
    x = 461,795,625.13/23,693.73
  6. Step 6: Final answer
    x = 19,490.20

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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.