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Finding the Fourth Proportional to 21,152.76, 31,737.44 and 8,678.76

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Solution

The fourth proportional to 21,152.76, 31,737.44 and 8,678.76 is: 13,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.76 : 31,737.44 = 8,678.76 : x
  2. Step 2: Convert to fraction form
    21,152.76/31,737.44 = 8,678.76/x
  3. Step 3: Cross multiply
    21,152.76x = 31,737.44 × 8,678.76
  4. Step 4: Simplify right side
    21,152.76x = 275,441,624.77
  5. Step 5: Solve for x
    x = 275,441,624.77/21,152.76
  6. Step 6: Final answer
    x = 13,021.55

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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.