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Finding the Fourth Proportional to 15,511.86, 21,398.76 and 9,219.78

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Solution

The fourth proportional to 15,511.86, 21,398.76 and 9,219.78 is: 12,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.86 : 21,398.76 = 9,219.78 : x
  2. Step 2: Convert to fraction form
    15,511.86/21,398.76 = 9,219.78/x
  3. Step 3: Cross multiply
    15,511.86x = 21,398.76 × 9,219.78
  4. Step 4: Simplify right side
    15,511.86x = 197,291,859.47
  5. Step 5: Solve for x
    x = 197,291,859.47/15,511.86
  6. Step 6: Final answer
    x = 12,718.78

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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.