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Finding the Fourth Proportional to 17,637.80, 24,341.04 and 9,679.95

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Solution

The fourth proportional to 17,637.80, 24,341.04 and 9,679.95 is: 13,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.80 : 24,341.04 = 9,679.95 : x
  2. Step 2: Convert to fraction form
    17,637.80/24,341.04 = 9,679.95/x
  3. Step 3: Cross multiply
    17,637.80x = 24,341.04 × 9,679.95
  4. Step 4: Simplify right side
    17,637.80x = 235,620,050.15
  5. Step 5: Solve for x
    x = 235,620,050.15/17,637.80
  6. Step 6: Final answer
    x = 13,358.82

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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.