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Finding the Fourth Proportional to 23,538.50, 32,486.01 and 13,602.50

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Solution

The fourth proportional to 23,538.50, 32,486.01 and 13,602.50 is: 18,773.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.50 : 32,486.01 = 13,602.50 : x
  2. Step 2: Convert to fraction form
    23,538.50/32,486.01 = 13,602.50/x
  3. Step 3: Cross multiply
    23,538.50x = 32,486.01 × 13,602.50
  4. Step 4: Simplify right side
    23,538.50x = 441,890,951.03
  5. Step 5: Solve for x
    x = 441,890,951.03/23,538.50
  6. Step 6: Final answer
    x = 18,773.11

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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.