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Finding the Fourth Proportional to 17,708.77, 24,437.90 and 9,750.82

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Solution

The fourth proportional to 17,708.77, 24,437.90 and 9,750.82 is: 13,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.77 : 24,437.90 = 9,750.82 : x
  2. Step 2: Convert to fraction form
    17,708.77/24,437.90 = 9,750.82/x
  3. Step 3: Cross multiply
    17,708.77x = 24,437.90 × 9,750.82
  4. Step 4: Simplify right side
    17,708.77x = 238,289,515.32
  5. Step 5: Solve for x
    x = 238,289,515.32/17,708.77
  6. Step 6: Final answer
    x = 13,456.02

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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.