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Finding the Fourth Proportional to 23,549.16, 32,497.98 and 12,938.52

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Solution

The fourth proportional to 23,549.16, 32,497.98 and 12,938.52 is: 17,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.16 : 32,497.98 = 12,938.52 : x
  2. Step 2: Convert to fraction form
    23,549.16/32,497.98 = 12,938.52/x
  3. Step 3: Cross multiply
    23,549.16x = 32,497.98 × 12,938.52
  4. Step 4: Simplify right side
    23,549.16x = 420,475,764.19
  5. Step 5: Solve for x
    x = 420,475,764.19/23,549.16
  6. Step 6: Final answer
    x = 17,855.23

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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.