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Finding the Fourth Proportional to 19,555.29, 29,332.94 and 9,164.61

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Solution

The fourth proportional to 19,555.29, 29,332.94 and 9,164.61 is: 13,746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,555.29 : 29,332.94 = 9,164.61 : x
  2. Step 2: Convert to fraction form
    19,555.29/29,332.94 = 9,164.61/x
  3. Step 3: Cross multiply
    19,555.29x = 29,332.94 × 9,164.61
  4. Step 4: Simplify right side
    19,555.29x = 268,824,909.43
  5. Step 5: Solve for x
    x = 268,824,909.43/19,555.29
  6. Step 6: Final answer
    x = 13,746.92

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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.