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Finding the Fourth Proportional to 23,564.16, 35,352 and 13,182.72

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Solution

The fourth proportional to 23,564.16, 35,352 and 13,182.72 is: 19,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.16 : 35,352 = 13,182.72 : x
  2. Step 2: Convert to fraction form
    23,564.16/35,352 = 13,182.72/x
  3. Step 3: Cross multiply
    23,564.16x = 35,352 × 13,182.72
  4. Step 4: Simplify right side
    23,564.16x = 466,035,517.44
  5. Step 5: Solve for x
    x = 466,035,517.44/23,564.16
  6. Step 6: Final answer
    x = 19,777.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.