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Finding the Fourth Proportional to 23,564.80, 32,517.84 and 13,492

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Solution

The fourth proportional to 23,564.80, 32,517.84 and 13,492 is: 18,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.80 : 32,517.84 = 13,492 : x
  2. Step 2: Convert to fraction form
    23,564.80/32,517.84 = 13,492/x
  3. Step 3: Cross multiply
    23,564.80x = 32,517.84 × 13,492
  4. Step 4: Simplify right side
    23,564.80x = 438,730,697.28
  5. Step 5: Solve for x
    x = 438,730,697.28/23,564.80
  6. Step 6: Final answer
    x = 18,618.05

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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.