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Finding the Fourth Proportional to 21,009.70, 31,516.86 and 8,527.92

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Solution

The fourth proportional to 21,009.70, 31,516.86 and 8,527.92 is: 12,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.70 : 31,516.86 = 8,527.92 : x
  2. Step 2: Convert to fraction form
    21,009.70/31,516.86 = 8,527.92/x
  3. Step 3: Cross multiply
    21,009.70x = 31,516.86 × 8,527.92
  4. Step 4: Simplify right side
    21,009.70x = 268,773,174.52
  5. Step 5: Solve for x
    x = 268,773,174.52/21,009.70
  6. Step 6: Final answer
    x = 12,792.82

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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.