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Finding the Fourth Proportional to 17,776.30, 24,531.14 and 9,819.08

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Solution

The fourth proportional to 17,776.30, 24,531.14 and 9,819.08 is: 13,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.30 : 24,531.14 = 9,819.08 : x
  2. Step 2: Convert to fraction form
    17,776.30/24,531.14 = 9,819.08/x
  3. Step 3: Cross multiply
    17,776.30x = 24,531.14 × 9,819.08
  4. Step 4: Simplify right side
    17,776.30x = 240,873,226.15
  5. Step 5: Solve for x
    x = 240,873,226.15/17,776.30
  6. Step 6: Final answer
    x = 13,550.25

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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.