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Finding the Fourth Proportional to 17,762.26, 24,510.18 and 9,803.97

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Solution

The fourth proportional to 17,762.26, 24,510.18 and 9,803.97 is: 13,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.26 : 24,510.18 = 9,803.97 : x
  2. Step 2: Convert to fraction form
    17,762.26/24,510.18 = 9,803.97/x
  3. Step 3: Cross multiply
    17,762.26x = 24,510.18 × 9,803.97
  4. Step 4: Simplify right side
    17,762.26x = 240,297,081.67
  5. Step 5: Solve for x
    x = 240,297,081.67/17,762.26
  6. Step 6: Final answer
    x = 13,528.52

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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.