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Finding the Fourth Proportional to 21,077.74, 31,607.36 and 7,920.87

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Solution

The fourth proportional to 21,077.74, 31,607.36 and 7,920.87 is: 11,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.74 : 31,607.36 = 7,920.87 : x
  2. Step 2: Convert to fraction form
    21,077.74/31,607.36 = 7,920.87/x
  3. Step 3: Cross multiply
    21,077.74x = 31,607.36 × 7,920.87
  4. Step 4: Simplify right side
    21,077.74x = 250,357,591.96
  5. Step 5: Solve for x
    x = 250,357,591.96/21,077.74
  6. Step 6: Final answer
    x = 11,877.82

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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.