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Finding the Fourth Proportional to 21,617.10, 32,422.01 and 8,283.69

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Solution

The fourth proportional to 21,617.10, 32,422.01 and 8,283.69 is: 12,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.10 : 32,422.01 = 8,283.69 : x
  2. Step 2: Convert to fraction form
    21,617.10/32,422.01 = 8,283.69/x
  3. Step 3: Cross multiply
    21,617.10x = 32,422.01 × 8,283.69
  4. Step 4: Simplify right side
    21,617.10x = 268,573,838.60
  5. Step 5: Solve for x
    x = 268,573,838.60/21,617.10
  6. Step 6: Final answer
    x = 12,424.14

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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.