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Finding the Fourth Proportional to 21,962.64, 32,948.10 and 8,816.04

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Solution

The fourth proportional to 21,962.64, 32,948.10 and 8,816.04 is: 13,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.64 : 32,948.10 = 8,816.04 : x
  2. Step 2: Convert to fraction form
    21,962.64/32,948.10 = 8,816.04/x
  3. Step 3: Cross multiply
    21,962.64x = 32,948.10 × 8,816.04
  4. Step 4: Simplify right side
    21,962.64x = 290,471,767.52
  5. Step 5: Solve for x
    x = 290,471,767.52/21,962.64
  6. Step 6: Final answer
    x = 13,225.72

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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.