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Finding the Fourth Proportional to 21,569.68, 32,349.66 and 8,415.28

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Solution

The fourth proportional to 21,569.68, 32,349.66 and 8,415.28 is: 12,621.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.68 : 32,349.66 = 8,415.28 : x
  2. Step 2: Convert to fraction form
    21,569.68/32,349.66 = 8,415.28/x
  3. Step 3: Cross multiply
    21,569.68x = 32,349.66 × 8,415.28
  4. Step 4: Simplify right side
    21,569.68x = 272,231,446.80
  5. Step 5: Solve for x
    x = 272,231,446.80/21,569.68
  6. Step 6: Final answer
    x = 12,621.02

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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.