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Finding the Fourth Proportional to 17,897.16, 24,697.70 and 9,939.24

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Solution

The fourth proportional to 17,897.16, 24,697.70 and 9,939.24 is: 13,715.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.16 : 24,697.70 = 9,939.24 : x
  2. Step 2: Convert to fraction form
    17,897.16/24,697.70 = 9,939.24/x
  3. Step 3: Cross multiply
    17,897.16x = 24,697.70 × 9,939.24
  4. Step 4: Simplify right side
    17,897.16x = 245,476,367.75
  5. Step 5: Solve for x
    x = 245,476,367.75/17,897.16
  6. Step 6: Final answer
    x = 13,715.94

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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.