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Finding the Fourth Proportional to 23,460, 32,374.80 and 12,849.72

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Solution

The fourth proportional to 23,460, 32,374.80 and 12,849.72 is: 17,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,460 : 32,374.80 = 12,849.72 : x
  2. Step 2: Convert to fraction form
    23,460/32,374.80 = 12,849.72/x
  3. Step 3: Cross multiply
    23,460x = 32,374.80 × 12,849.72
  4. Step 4: Simplify right side
    23,460x = 416,007,115.06
  5. Step 5: Solve for x
    x = 416,007,115.06/23,460
  6. Step 6: Final answer
    x = 17,732.61

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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.