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Finding the Fourth Proportional to 17,971.65, 24,801.12 and 10,418.40

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Solution

The fourth proportional to 17,971.65, 24,801.12 and 10,418.40 is: 14,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971.65 : 24,801.12 = 10,418.40 : x
  2. Step 2: Convert to fraction form
    17,971.65/24,801.12 = 10,418.40/x
  3. Step 3: Cross multiply
    17,971.65x = 24,801.12 × 10,418.40
  4. Step 4: Simplify right side
    17,971.65x = 258,387,988.61
  5. Step 5: Solve for x
    x = 258,387,988.61/17,971.65
  6. Step 6: Final answer
    x = 14,377.53

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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.