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Finding the Fourth Proportional to 17,681, 24,400.98 and 10,229

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Solution

The fourth proportional to 17,681, 24,400.98 and 10,229 is: 14,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681 : 24,400.98 = 10,229 : x
  2. Step 2: Convert to fraction form
    17,681/24,400.98 = 10,229/x
  3. Step 3: Cross multiply
    17,681x = 24,400.98 × 10,229
  4. Step 4: Simplify right side
    17,681x = 249,597,624.42
  5. Step 5: Solve for x
    x = 249,597,624.42/17,681
  6. Step 6: Final answer
    x = 14,116.71

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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.