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Finding the Fourth Proportional to 23,562.84, 32,517.30 and 12,952.74

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Solution

The fourth proportional to 23,562.84, 32,517.30 and 12,952.74 is: 17,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.84 : 32,517.30 = 12,952.74 : x
  2. Step 2: Convert to fraction form
    23,562.84/32,517.30 = 12,952.74/x
  3. Step 3: Cross multiply
    23,562.84x = 32,517.30 × 12,952.74
  4. Step 4: Simplify right side
    23,562.84x = 421,188,132.40
  5. Step 5: Solve for x
    x = 421,188,132.40/23,562.84
  6. Step 6: Final answer
    x = 17,875.10

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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.