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Finding the Fourth Proportional to 10,154.71, 13,982.34 and 8,888.68

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Solution

The fourth proportional to 10,154.71, 13,982.34 and 8,888.68 is: 12,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.71 : 13,982.34 = 8,888.68 : x
  2. Step 2: Convert to fraction form
    10,154.71/13,982.34 = 8,888.68/x
  3. Step 3: Cross multiply
    10,154.71x = 13,982.34 × 8,888.68
  4. Step 4: Simplify right side
    10,154.71x = 124,284,510.96
  5. Step 5: Solve for x
    x = 124,284,510.96/10,154.71
  6. Step 6: Final answer
    x = 12,239.10

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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.