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Finding the Fourth Proportional to 23,611.60, 32,567.16 and 15,220

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Solution

The fourth proportional to 23,611.60, 32,567.16 and 15,220 is: 20,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.60 : 32,567.16 = 15,220 : x
  2. Step 2: Convert to fraction form
    23,611.60/32,567.16 = 15,220/x
  3. Step 3: Cross multiply
    23,611.60x = 32,567.16 × 15,220
  4. Step 4: Simplify right side
    23,611.60x = 495,672,175.20
  5. Step 5: Solve for x
    x = 495,672,175.20/23,611.60
  6. Step 6: Final answer
    x = 20,992.74

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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.