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Finding the Fourth Proportional to 17,897.70, 24,699.15 and 10,822.62

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Solution

The fourth proportional to 17,897.70, 24,699.15 and 10,822.62 is: 14,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.70 : 24,699.15 = 10,822.62 : x
  2. Step 2: Convert to fraction form
    17,897.70/24,699.15 = 10,822.62/x
  3. Step 3: Cross multiply
    17,897.70x = 24,699.15 × 10,822.62
  4. Step 4: Simplify right side
    17,897.70x = 267,309,514.77
  5. Step 5: Solve for x
    x = 267,309,514.77/17,897.70
  6. Step 6: Final answer
    x = 14,935.41

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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.