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Finding the Fourth Proportional to 17,715.86, 24,459.65 and 11,011.49

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Solution

The fourth proportional to 17,715.86, 24,459.65 and 11,011.49 is: 15,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.86 : 24,459.65 = 11,011.49 : x
  2. Step 2: Convert to fraction form
    17,715.86/24,459.65 = 11,011.49/x
  3. Step 3: Cross multiply
    17,715.86x = 24,459.65 × 11,011.49
  4. Step 4: Simplify right side
    17,715.86x = 269,337,191.38
  5. Step 5: Solve for x
    x = 269,337,191.38/17,715.86
  6. Step 6: Final answer
    x = 15,203.17

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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.