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Finding the Fourth Proportional to 21,460.68, 32,180.04 and 9,763.92

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Solution

The fourth proportional to 21,460.68, 32,180.04 and 9,763.92 is: 14,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.68 : 32,180.04 = 9,763.92 : x
  2. Step 2: Convert to fraction form
    21,460.68/32,180.04 = 9,763.92/x
  3. Step 3: Cross multiply
    21,460.68x = 32,180.04 × 9,763.92
  4. Step 4: Simplify right side
    21,460.68x = 314,203,336.16
  5. Step 5: Solve for x
    x = 314,203,336.16/21,460.68
  6. Step 6: Final answer
    x = 14,640.88

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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.