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Finding the Fourth Proportional to 19,691.61, 29,504.54 and 13,837.74

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Solution

The fourth proportional to 19,691.61, 29,504.54 and 13,837.74 is: 20,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.61 : 29,504.54 = 13,837.74 : x
  2. Step 2: Convert to fraction form
    19,691.61/29,504.54 = 13,837.74/x
  3. Step 3: Cross multiply
    19,691.61x = 29,504.54 × 13,837.74
  4. Step 4: Simplify right side
    19,691.61x = 408,276,084.15
  5. Step 5: Solve for x
    x = 408,276,084.15/19,691.61
  6. Step 6: Final answer
    x = 20,733.50

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