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Finding the Fourth Proportional to 17,887.68, 24,683.84 and 9,929.92

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Solution

The fourth proportional to 17,887.68, 24,683.84 and 9,929.92 is: 13,702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,887.68 : 24,683.84 = 9,929.92 : x
  2. Step 2: Convert to fraction form
    17,887.68/24,683.84 = 9,929.92/x
  3. Step 3: Cross multiply
    17,887.68x = 24,683.84 × 9,929.92
  4. Step 4: Simplify right side
    17,887.68x = 245,108,556.49
  5. Step 5: Solve for x
    x = 245,108,556.49/17,887.68
  6. Step 6: Final answer
    x = 13,702.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.