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Finding the Fourth Proportional to 17,582.47, 24,264.09 and 9,624.56

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Solution

The fourth proportional to 17,582.47, 24,264.09 and 9,624.56 is: 13,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.47 : 24,264.09 = 9,624.56 : x
  2. Step 2: Convert to fraction form
    17,582.47/24,264.09 = 9,624.56/x
  3. Step 3: Cross multiply
    17,582.47x = 24,264.09 × 9,624.56
  4. Step 4: Simplify right side
    17,582.47x = 233,531,068.73
  5. Step 5: Solve for x
    x = 233,531,068.73/17,582.47
  6. Step 6: Final answer
    x = 13,282.04

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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.