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Finding the Fourth Proportional to 23,809.52, 32,870.14 and 15,743.54

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Solution

The fourth proportional to 23,809.52, 32,870.14 and 15,743.54 is: 21,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.52 : 32,870.14 = 15,743.54 : x
  2. Step 2: Convert to fraction form
    23,809.52/32,870.14 = 15,743.54/x
  3. Step 3: Cross multiply
    23,809.52x = 32,870.14 × 15,743.54
  4. Step 4: Simplify right side
    23,809.52x = 517,492,363.90
  5. Step 5: Solve for x
    x = 517,492,363.90/23,809.52
  6. Step 6: Final answer
    x = 21,734.68

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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.