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Finding the Fourth Proportional to 23,437.65, 32,344.71 and 12,827.27

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Solution

The fourth proportional to 23,437.65, 32,344.71 and 12,827.27 is: 17,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437.65 : 32,344.71 = 12,827.27 : x
  2. Step 2: Convert to fraction form
    23,437.65/32,344.71 = 12,827.27/x
  3. Step 3: Cross multiply
    23,437.65x = 32,344.71 × 12,827.27
  4. Step 4: Simplify right side
    23,437.65x = 414,894,328.24
  5. Step 5: Solve for x
    x = 414,894,328.24/23,437.65
  6. Step 6: Final answer
    x = 17,702.04

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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.