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Finding the Fourth Proportional to 17,666.93, 24,382.08 and 10,113.89

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Solution

The fourth proportional to 17,666.93, 24,382.08 and 10,113.89 is: 13,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.93 : 24,382.08 = 10,113.89 : x
  2. Step 2: Convert to fraction form
    17,666.93/24,382.08 = 10,113.89/x
  3. Step 3: Cross multiply
    17,666.93x = 24,382.08 × 10,113.89
  4. Step 4: Simplify right side
    17,666.93x = 246,597,553.18
  5. Step 5: Solve for x
    x = 246,597,553.18/17,666.93
  6. Step 6: Final answer
    x = 13,958.14

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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.