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Finding the Fourth Proportional to 12,144.01, 16,758.40 and 6,838.71

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Solution

The fourth proportional to 12,144.01, 16,758.40 and 6,838.71 is: 9,437.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.01 : 16,758.40 = 6,838.71 : x
  2. Step 2: Convert to fraction form
    12,144.01/16,758.40 = 6,838.71/x
  3. Step 3: Cross multiply
    12,144.01x = 16,758.40 × 6,838.71
  4. Step 4: Simplify right side
    12,144.01x = 114,605,837.66
  5. Step 5: Solve for x
    x = 114,605,837.66/12,144.01
  6. Step 6: Final answer
    x = 9,437.23

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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.