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Finding the Fourth Proportional to 25,842.16, 38,763.52 and 14,735.60

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Solution

The fourth proportional to 25,842.16, 38,763.52 and 14,735.60 is: 22,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.16 : 38,763.52 = 14,735.60 : x
  2. Step 2: Convert to fraction form
    25,842.16/38,763.52 = 14,735.60/x
  3. Step 3: Cross multiply
    25,842.16x = 38,763.52 × 14,735.60
  4. Step 4: Simplify right side
    25,842.16x = 571,203,725.31
  5. Step 5: Solve for x
    x = 571,203,725.31/25,842.16
  6. Step 6: Final answer
    x = 22,103.56

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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.