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Finding the Fourth Proportional to 13,532.47, 18,665.54 and 8,823.13

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Solution

The fourth proportional to 13,532.47, 18,665.54 and 8,823.13 is: 12,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.47 : 18,665.54 = 8,823.13 : x
  2. Step 2: Convert to fraction form
    13,532.47/18,665.54 = 8,823.13/x
  3. Step 3: Cross multiply
    13,532.47x = 18,665.54 × 8,823.13
  4. Step 4: Simplify right side
    13,532.47x = 164,688,428.25
  5. Step 5: Solve for x
    x = 164,688,428.25/13,532.47
  6. Step 6: Final answer
    x = 12,169.87

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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.