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Finding the Fourth Proportional to 16,143.66, 22,279.95 and 9,773.76

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Solution

The fourth proportional to 16,143.66, 22,279.95 and 9,773.76 is: 13,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.66 : 22,279.95 = 9,773.76 : x
  2. Step 2: Convert to fraction form
    16,143.66/22,279.95 = 9,773.76/x
  3. Step 3: Cross multiply
    16,143.66x = 22,279.95 × 9,773.76
  4. Step 4: Simplify right side
    16,143.66x = 217,758,884.11
  5. Step 5: Solve for x
    x = 217,758,884.11/16,143.66
  6. Step 6: Final answer
    x = 13,488.82

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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.