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Finding the Fourth Proportional to 23,817.60, 32,852.70 and 15,306.30

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Solution

The fourth proportional to 23,817.60, 32,852.70 and 15,306.30 is: 21,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.60 : 32,852.70 = 15,306.30 : x
  2. Step 2: Convert to fraction form
    23,817.60/32,852.70 = 15,306.30/x
  3. Step 3: Cross multiply
    23,817.60x = 32,852.70 × 15,306.30
  4. Step 4: Simplify right side
    23,817.60x = 502,853,282.01
  5. Step 5: Solve for x
    x = 502,853,282.01/23,817.60
  6. Step 6: Final answer
    x = 21,112.68

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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.