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Finding the Fourth Proportional to 17,707.68, 24,431.68 and 10,990.08

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Solution

The fourth proportional to 17,707.68, 24,431.68 and 10,990.08 is: 15,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.68 : 24,431.68 = 10,990.08 : x
  2. Step 2: Convert to fraction form
    17,707.68/24,431.68 = 10,990.08/x
  3. Step 3: Cross multiply
    17,707.68x = 24,431.68 × 10,990.08
  4. Step 4: Simplify right side
    17,707.68x = 268,506,117.73
  5. Step 5: Solve for x
    x = 268,506,117.73/17,707.68
  6. Step 6: Final answer
    x = 15,163.26

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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.