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Finding the Fourth Proportional to 18,002.29, 24,842.58 and 9,825.58

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Solution

The fourth proportional to 18,002.29, 24,842.58 and 9,825.58 is: 13,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,002.29 : 24,842.58 = 9,825.58 : x
  2. Step 2: Convert to fraction form
    18,002.29/24,842.58 = 9,825.58/x
  3. Step 3: Cross multiply
    18,002.29x = 24,842.58 × 9,825.58
  4. Step 4: Simplify right side
    18,002.29x = 244,092,757.20
  5. Step 5: Solve for x
    x = 244,092,757.20/18,002.29
  6. Step 6: Final answer
    x = 13,558.98

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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.