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Finding the Fourth Proportional to 19,688.75, 29,532.71 and 6,541.23

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Solution

The fourth proportional to 19,688.75, 29,532.71 and 6,541.23 is: 9,811.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,688.75 : 29,532.71 = 6,541.23 : x
  2. Step 2: Convert to fraction form
    19,688.75/29,532.71 = 6,541.23/x
  3. Step 3: Cross multiply
    19,688.75x = 29,532.71 × 6,541.23
  4. Step 4: Simplify right side
    19,688.75x = 193,180,215.93
  5. Step 5: Solve for x
    x = 193,180,215.93/19,688.75
  6. Step 6: Final answer
    x = 9,811.71

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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.