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Finding the Fourth Proportional to 22,897.80, 31,600.15 and 12,825.65

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Solution

The fourth proportional to 22,897.80, 31,600.15 and 12,825.65 is: 17,700.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.80 : 31,600.15 = 12,825.65 : x
  2. Step 2: Convert to fraction form
    22,897.80/31,600.15 = 12,825.65/x
  3. Step 3: Cross multiply
    22,897.80x = 31,600.15 × 12,825.65
  4. Step 4: Simplify right side
    22,897.80x = 405,292,463.85
  5. Step 5: Solve for x
    x = 405,292,463.85/22,897.80
  6. Step 6: Final answer
    x = 17,700.06

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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.