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Finding the Fourth Proportional to 17,407.70, 24,022.55 and 9,449.86

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Solution

The fourth proportional to 17,407.70, 24,022.55 and 9,449.86 is: 13,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.70 : 24,022.55 = 9,449.86 : x
  2. Step 2: Convert to fraction form
    17,407.70/24,022.55 = 9,449.86/x
  3. Step 3: Cross multiply
    17,407.70x = 24,022.55 × 9,449.86
  4. Step 4: Simplify right side
    17,407.70x = 227,009,734.34
  5. Step 5: Solve for x
    x = 227,009,734.34/17,407.70
  6. Step 6: Final answer
    x = 13,040.77

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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.