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Finding the Fourth Proportional to 15,532.81, 21,435.52 and 8,459.24

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Solution

The fourth proportional to 15,532.81, 21,435.52 and 8,459.24 is: 11,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.81 : 21,435.52 = 8,459.24 : x
  2. Step 2: Convert to fraction form
    15,532.81/21,435.52 = 8,459.24/x
  3. Step 3: Cross multiply
    15,532.81x = 21,435.52 × 8,459.24
  4. Step 4: Simplify right side
    15,532.81x = 181,328,095.74
  5. Step 5: Solve for x
    x = 181,328,095.74/15,532.81
  6. Step 6: Final answer
    x = 11,673.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.