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Finding the Fourth Proportional to 17,597, 24,282.70 and 9,639.32

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Solution

The fourth proportional to 17,597, 24,282.70 and 9,639.32 is: 13,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597 : 24,282.70 = 9,639.32 : x
  2. Step 2: Convert to fraction form
    17,597/24,282.70 = 9,639.32/x
  3. Step 3: Cross multiply
    17,597x = 24,282.70 × 9,639.32
  4. Step 4: Simplify right side
    17,597x = 234,068,715.76
  5. Step 5: Solve for x
    x = 234,068,715.76/17,597
  6. Step 6: Final answer
    x = 13,301.63

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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.