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Finding the Fourth Proportional to 20,702.67, 31,048.67 and 9,598.47

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Solution

The fourth proportional to 20,702.67, 31,048.67 and 9,598.47 is: 14,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.67 : 31,048.67 = 9,598.47 : x
  2. Step 2: Convert to fraction form
    20,702.67/31,048.67 = 9,598.47/x
  3. Step 3: Cross multiply
    20,702.67x = 31,048.67 × 9,598.47
  4. Step 4: Simplify right side
    20,702.67x = 298,019,679.54
  5. Step 5: Solve for x
    x = 298,019,679.54/20,702.67
  6. Step 6: Final answer
    x = 14,395.23

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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.