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Finding the Fourth Proportional to 21,178.13, 31,767.19 and 7,327.13

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Solution

The fourth proportional to 21,178.13, 31,767.19 and 7,327.13 is: 10,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.13 : 31,767.19 = 7,327.13 : x
  2. Step 2: Convert to fraction form
    21,178.13/31,767.19 = 7,327.13/x
  3. Step 3: Cross multiply
    21,178.13x = 31,767.19 × 7,327.13
  4. Step 4: Simplify right side
    21,178.13x = 232,762,153.71
  5. Step 5: Solve for x
    x = 232,762,153.71/21,178.13
  6. Step 6: Final answer
    x = 10,990.69

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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.