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Finding the Fourth Proportional to 15,642.60, 23,465.13 and 4,549.44

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Solution

The fourth proportional to 15,642.60, 23,465.13 and 4,549.44 is: 6,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.60 : 23,465.13 = 4,549.44 : x
  2. Step 2: Convert to fraction form
    15,642.60/23,465.13 = 4,549.44/x
  3. Step 3: Cross multiply
    15,642.60x = 23,465.13 × 4,549.44
  4. Step 4: Simplify right side
    15,642.60x = 106,753,201.03
  5. Step 5: Solve for x
    x = 106,753,201.03/15,642.60
  6. Step 6: Final answer
    x = 6,824.52

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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.