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Finding the Fourth Proportional to 10,678.83, 14,743.71 and 9,557.82

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Solution

The fourth proportional to 10,678.83, 14,743.71 and 9,557.82 is: 13,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.83 : 14,743.71 = 9,557.82 : x
  2. Step 2: Convert to fraction form
    10,678.83/14,743.71 = 9,557.82/x
  3. Step 3: Cross multiply
    10,678.83x = 14,743.71 × 9,557.82
  4. Step 4: Simplify right side
    10,678.83x = 140,917,726.31
  5. Step 5: Solve for x
    x = 140,917,726.31/10,678.83
  6. Step 6: Final answer
    x = 13,195.99

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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.