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Finding the Fourth Proportional to 17,776.98, 24,531.58 and 9,819.04

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Solution

The fourth proportional to 17,776.98, 24,531.58 and 9,819.04 is: 13,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.98 : 24,531.58 = 9,819.04 : x
  2. Step 2: Convert to fraction form
    17,776.98/24,531.58 = 9,819.04/x
  3. Step 3: Cross multiply
    17,776.98x = 24,531.58 × 9,819.04
  4. Step 4: Simplify right side
    17,776.98x = 240,876,565.28
  5. Step 5: Solve for x
    x = 240,876,565.28/17,776.98
  6. Step 6: Final answer
    x = 13,549.91

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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.