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Finding the Fourth Proportional to 12,088.17, 16,677.09 and 7,049.84

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Solution

The fourth proportional to 12,088.17, 16,677.09 and 7,049.84 is: 9,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.17 : 16,677.09 = 7,049.84 : x
  2. Step 2: Convert to fraction form
    12,088.17/16,677.09 = 7,049.84/x
  3. Step 3: Cross multiply
    12,088.17x = 16,677.09 × 7,049.84
  4. Step 4: Simplify right side
    12,088.17x = 117,570,732.78
  5. Step 5: Solve for x
    x = 117,570,732.78/12,088.17
  6. Step 6: Final answer
    x = 9,726.10

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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.