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Finding the Fourth Proportional to 23,635.60, 32,611.24 and 15,242

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Solution

The fourth proportional to 23,635.60, 32,611.24 and 15,242 is: 21,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.60 : 32,611.24 = 15,242 : x
  2. Step 2: Convert to fraction form
    23,635.60/32,611.24 = 15,242/x
  3. Step 3: Cross multiply
    23,635.60x = 32,611.24 × 15,242
  4. Step 4: Simplify right side
    23,635.60x = 497,060,520.08
  5. Step 5: Solve for x
    x = 497,060,520.08/23,635.60
  6. Step 6: Final answer
    x = 21,030.16

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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.