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Finding the Fourth Proportional to 15,674.30, 23,502.54 and 12,115.16

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Solution

The fourth proportional to 15,674.30, 23,502.54 and 12,115.16 is: 18,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.30 : 23,502.54 = 12,115.16 : x
  2. Step 2: Convert to fraction form
    15,674.30/23,502.54 = 12,115.16/x
  3. Step 3: Cross multiply
    15,674.30x = 23,502.54 × 12,115.16
  4. Step 4: Simplify right side
    15,674.30x = 284,737,032.51
  5. Step 5: Solve for x
    x = 284,737,032.51/15,674.30
  6. Step 6: Final answer
    x = 18,165.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.