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Finding the Fourth Proportional to 25,590.48, 38,367.54 and 9,782.20

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Solution

The fourth proportional to 25,590.48, 38,367.54 and 9,782.20 is: 14,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,590.48 : 38,367.54 = 9,782.20 : x
  2. Step 2: Convert to fraction form
    25,590.48/38,367.54 = 9,782.20/x
  3. Step 3: Cross multiply
    25,590.48x = 38,367.54 × 9,782.20
  4. Step 4: Simplify right side
    25,590.48x = 375,318,757.95
  5. Step 5: Solve for x
    x = 375,318,757.95/25,590.48
  6. Step 6: Final answer
    x = 14,666.34

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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.