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Finding the Fourth Proportional to 25,200.48, 34,777.20 and 14,023.20

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Solution

The fourth proportional to 25,200.48, 34,777.20 and 14,023.20 is: 19,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200.48 : 34,777.20 = 14,023.20 : x
  2. Step 2: Convert to fraction form
    25,200.48/34,777.20 = 14,023.20/x
  3. Step 3: Cross multiply
    25,200.48x = 34,777.20 × 14,023.20
  4. Step 4: Simplify right side
    25,200.48x = 487,687,631.04
  5. Step 5: Solve for x
    x = 487,687,631.04/25,200.48
  6. Step 6: Final answer
    x = 19,352.32

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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.