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Finding the Fourth Proportional to 14,461.77, 21,677.13 and 6,134.76

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Solution

The fourth proportional to 14,461.77, 21,677.13 and 6,134.76 is: 9,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.77 : 21,677.13 = 6,134.76 : x
  2. Step 2: Convert to fraction form
    14,461.77/21,677.13 = 6,134.76/x
  3. Step 3: Cross multiply
    14,461.77x = 21,677.13 × 6,134.76
  4. Step 4: Simplify right side
    14,461.77x = 132,983,990.04
  5. Step 5: Solve for x
    x = 132,983,990.04/14,461.77
  6. Step 6: Final answer
    x = 9,195.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.