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Finding the Fourth Proportional to 17,809.16, 24,575.83 and 9,742.61

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Solution

The fourth proportional to 17,809.16, 24,575.83 and 9,742.61 is: 13,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.16 : 24,575.83 = 9,742.61 : x
  2. Step 2: Convert to fraction form
    17,809.16/24,575.83 = 9,742.61/x
  3. Step 3: Cross multiply
    17,809.16x = 24,575.83 × 9,742.61
  4. Step 4: Simplify right side
    17,809.16x = 239,432,764.20
  5. Step 5: Solve for x
    x = 239,432,764.20/17,809.16
  6. Step 6: Final answer
    x = 13,444.36

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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.