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Finding the Fourth Proportional to 15,943.74, 22,023 and 12,143.76

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Solution

The fourth proportional to 15,943.74, 22,023 and 12,143.76 is: 16,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,943.74 : 22,023 = 12,143.76 : x
  2. Step 2: Convert to fraction form
    15,943.74/22,023 = 12,143.76/x
  3. Step 3: Cross multiply
    15,943.74x = 22,023 × 12,143.76
  4. Step 4: Simplify right side
    15,943.74x = 267,442,026.48
  5. Step 5: Solve for x
    x = 267,442,026.48/15,943.74
  6. Step 6: Final answer
    x = 16,774.11

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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.