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Finding the Fourth Proportional to 22,967.92, 31,703.70 and 13,535.92

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Solution

The fourth proportional to 22,967.92, 31,703.70 and 13,535.92 is: 18,684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.92 : 31,703.70 = 13,535.92 : x
  2. Step 2: Convert to fraction form
    22,967.92/31,703.70 = 13,535.92/x
  3. Step 3: Cross multiply
    22,967.92x = 31,703.70 × 13,535.92
  4. Step 4: Simplify right side
    22,967.92x = 429,138,746.90
  5. Step 5: Solve for x
    x = 429,138,746.90/22,967.92
  6. Step 6: Final answer
    x = 18,684.27

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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.