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Finding the Fourth Proportional to 19,657.68, 29,498.04 and 14,105.04

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Solution

The fourth proportional to 19,657.68, 29,498.04 and 14,105.04 is: 21,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.68 : 29,498.04 = 14,105.04 : x
  2. Step 2: Convert to fraction form
    19,657.68/29,498.04 = 14,105.04/x
  3. Step 3: Cross multiply
    19,657.68x = 29,498.04 × 14,105.04
  4. Step 4: Simplify right side
    19,657.68x = 416,071,034.12
  5. Step 5: Solve for x
    x = 416,071,034.12/19,657.68
  6. Step 6: Final answer
    x = 21,165.83

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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.