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Finding the Fourth Proportional to 25,642.64, 38,470.16 and 9,632.32

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Solution

The fourth proportional to 25,642.64, 38,470.16 and 9,632.32 is: 14,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.64 : 38,470.16 = 9,632.32 : x
  2. Step 2: Convert to fraction form
    25,642.64/38,470.16 = 9,632.32/x
  3. Step 3: Cross multiply
    25,642.64x = 38,470.16 × 9,632.32
  4. Step 4: Simplify right side
    25,642.64x = 370,556,819.48
  5. Step 5: Solve for x
    x = 370,556,819.48/25,642.64
  6. Step 6: Final answer
    x = 14,450.80

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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.