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Finding the Fourth Proportional to 23,294.64, 32,144.16 and 13,604.40

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Solution

The fourth proportional to 23,294.64, 32,144.16 and 13,604.40 is: 18,772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.64 : 32,144.16 = 13,604.40 : x
  2. Step 2: Convert to fraction form
    23,294.64/32,144.16 = 13,604.40/x
  3. Step 3: Cross multiply
    23,294.64x = 32,144.16 × 13,604.40
  4. Step 4: Simplify right side
    23,294.64x = 437,302,010.30
  5. Step 5: Solve for x
    x = 437,302,010.30/23,294.64
  6. Step 6: Final answer
    x = 18,772.65

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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.