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Finding the Fourth Proportional to 23,551.16, 32,497.14 and 13,478

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Solution

The fourth proportional to 23,551.16, 32,497.14 and 13,478 is: 18,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,551.16 : 32,497.14 = 13,478 : x
  2. Step 2: Convert to fraction form
    23,551.16/32,497.14 = 13,478/x
  3. Step 3: Cross multiply
    23,551.16x = 32,497.14 × 13,478
  4. Step 4: Simplify right side
    23,551.16x = 437,996,452.92
  5. Step 5: Solve for x
    x = 437,996,452.92/23,551.16
  6. Step 6: Final answer
    x = 18,597.66

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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.