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Finding the Fourth Proportional to 23,551.92, 32,498.18 and 13,478.76

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Solution

The fourth proportional to 23,551.92, 32,498.18 and 13,478.76 is: 18,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,551.92 : 32,498.18 = 13,478.76 : x
  2. Step 2: Convert to fraction form
    23,551.92/32,498.18 = 13,478.76/x
  3. Step 3: Cross multiply
    23,551.92x = 32,498.18 × 13,478.76
  4. Step 4: Simplify right side
    23,551.92x = 438,035,168.66
  5. Step 5: Solve for x
    x = 438,035,168.66/23,551.92
  6. Step 6: Final answer
    x = 18,598.70

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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.