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Finding the Fourth Proportional to 21,688.71, 32,532.66 and 6,898.65

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Solution

The fourth proportional to 21,688.71, 32,532.66 and 6,898.65 is: 10,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.71 : 32,532.66 = 6,898.65 : x
  2. Step 2: Convert to fraction form
    21,688.71/32,532.66 = 6,898.65/x
  3. Step 3: Cross multiply
    21,688.71x = 32,532.66 × 6,898.65
  4. Step 4: Simplify right side
    21,688.71x = 224,431,434.91
  5. Step 5: Solve for x
    x = 224,431,434.91/21,688.71
  6. Step 6: Final answer
    x = 10,347.85

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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.