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Finding the Fourth Proportional to 21,177.61, 31,767.93 and 6,387.66

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Solution

The fourth proportional to 21,177.61, 31,767.93 and 6,387.66 is: 9,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177.61 : 31,767.93 = 6,387.66 : x
  2. Step 2: Convert to fraction form
    21,177.61/31,767.93 = 6,387.66/x
  3. Step 3: Cross multiply
    21,177.61x = 31,767.93 × 6,387.66
  4. Step 4: Simplify right side
    21,177.61x = 202,922,735.74
  5. Step 5: Solve for x
    x = 202,922,735.74/21,177.61
  6. Step 6: Final answer
    x = 9,581.95

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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.