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Finding the Fourth Proportional to 17,909.32, 24,715.32 and 9,842.88

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Solution

The fourth proportional to 17,909.32, 24,715.32 and 9,842.88 is: 13,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.32 : 24,715.32 = 9,842.88 : x
  2. Step 2: Convert to fraction form
    17,909.32/24,715.32 = 9,842.88/x
  3. Step 3: Cross multiply
    17,909.32x = 24,715.32 × 9,842.88
  4. Step 4: Simplify right side
    17,909.32x = 243,269,928.92
  5. Step 5: Solve for x
    x = 243,269,928.92/17,909.32
  6. Step 6: Final answer
    x = 13,583.43

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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.