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Finding the Fourth Proportional to 17,761.52, 24,509.14 and 9,803.23

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Solution

The fourth proportional to 17,761.52, 24,509.14 and 9,803.23 is: 13,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.52 : 24,509.14 = 9,803.23 : x
  2. Step 2: Convert to fraction form
    17,761.52/24,509.14 = 9,803.23/x
  3. Step 3: Cross multiply
    17,761.52x = 24,509.14 × 9,803.23
  4. Step 4: Simplify right side
    17,761.52x = 240,268,613.98
  5. Step 5: Solve for x
    x = 240,268,613.98/17,761.52
  6. Step 6: Final answer
    x = 13,527.48

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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.