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Finding the Fourth Proportional to 15,156.77, 20,916.29 and 8,442

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Solution

The fourth proportional to 15,156.77, 20,916.29 and 8,442 is: 11,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156.77 : 20,916.29 = 8,442 : x
  2. Step 2: Convert to fraction form
    15,156.77/20,916.29 = 8,442/x
  3. Step 3: Cross multiply
    15,156.77x = 20,916.29 × 8,442
  4. Step 4: Simplify right side
    15,156.77x = 176,575,320.18
  5. Step 5: Solve for x
    x = 176,575,320.18/15,156.77
  6. Step 6: Final answer
    x = 11,649.93

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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.