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Finding the Fourth Proportional to 15,578.28, 21,486.72 and 9,607.76

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Solution

The fourth proportional to 15,578.28, 21,486.72 and 9,607.76 is: 13,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.28 : 21,486.72 = 9,607.76 : x
  2. Step 2: Convert to fraction form
    15,578.28/21,486.72 = 9,607.76/x
  3. Step 3: Cross multiply
    15,578.28x = 21,486.72 × 9,607.76
  4. Step 4: Simplify right side
    15,578.28x = 206,439,248.95
  5. Step 5: Solve for x
    x = 206,439,248.95/15,578.28
  6. Step 6: Final answer
    x = 13,251.74

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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.