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Finding the Fourth Proportional to 10,149.84, 14,006.52 and 9,851.76

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Solution

The fourth proportional to 10,149.84, 14,006.52 and 9,851.76 is: 13,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.84 : 14,006.52 = 9,851.76 : x
  2. Step 2: Convert to fraction form
    10,149.84/14,006.52 = 9,851.76/x
  3. Step 3: Cross multiply
    10,149.84x = 14,006.52 × 9,851.76
  4. Step 4: Simplify right side
    10,149.84x = 137,988,873.48
  5. Step 5: Solve for x
    x = 137,988,873.48/10,149.84
  6. Step 6: Final answer
    x = 13,595.18

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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.