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Finding the Fourth Proportional to 19,831.76, 29,735.76 and 6,317.10

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Solution

The fourth proportional to 19,831.76, 29,735.76 and 6,317.10 is: 9,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831.76 : 29,735.76 = 6,317.10 : x
  2. Step 2: Convert to fraction form
    19,831.76/29,735.76 = 6,317.10/x
  3. Step 3: Cross multiply
    19,831.76x = 29,735.76 × 6,317.10
  4. Step 4: Simplify right side
    19,831.76x = 187,843,769.50
  5. Step 5: Solve for x
    x = 187,843,769.50/19,831.76
  6. Step 6: Final answer
    x = 9,471.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.