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Finding the Fourth Proportional to 20,831.70, 31,211.13 and 17,344.11

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Solution

The fourth proportional to 20,831.70, 31,211.13 and 17,344.11 is: 25,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,831.70 : 31,211.13 = 17,344.11 : x
  2. Step 2: Convert to fraction form
    20,831.70/31,211.13 = 17,344.11/x
  3. Step 3: Cross multiply
    20,831.70x = 31,211.13 × 17,344.11
  4. Step 4: Simplify right side
    20,831.70x = 541,329,271.94
  5. Step 5: Solve for x
    x = 541,329,271.94/20,831.70
  6. Step 6: Final answer
    x = 25,985.84

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1.5x scale

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.