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Finding the Fourth Proportional to 21,930.81, 32,877.76 and 8,776

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Solution

The fourth proportional to 21,930.81, 32,877.76 and 8,776 is: 13,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.81 : 32,877.76 = 8,776 : x
  2. Step 2: Convert to fraction form
    21,930.81/32,877.76 = 8,776/x
  3. Step 3: Cross multiply
    21,930.81x = 32,877.76 × 8,776
  4. Step 4: Simplify right side
    21,930.81x = 288,535,221.76
  5. Step 5: Solve for x
    x = 288,535,221.76/21,930.81
  6. Step 6: Final answer
    x = 13,156.61

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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.