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Finding the Fourth Proportional to 15,165.86, 20,916.51 and 12,733.84

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Solution

The fourth proportional to 15,165.86, 20,916.51 and 12,733.84 is: 17,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.86 : 20,916.51 = 12,733.84 : x
  2. Step 2: Convert to fraction form
    15,165.86/20,916.51 = 12,733.84/x
  3. Step 3: Cross multiply
    15,165.86x = 20,916.51 × 12,733.84
  4. Step 4: Simplify right side
    15,165.86x = 266,347,387.12
  5. Step 5: Solve for x
    x = 266,347,387.12/15,165.86
  6. Step 6: Final answer
    x = 17,562.30

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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.