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Finding the Fourth Proportional to 17,952.40, 24,762 and 10,869.76

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Solution

The fourth proportional to 17,952.40, 24,762 and 10,869.76 is: 14,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952.40 : 24,762 = 10,869.76 : x
  2. Step 2: Convert to fraction form
    17,952.40/24,762 = 10,869.76/x
  3. Step 3: Cross multiply
    17,952.40x = 24,762 × 10,869.76
  4. Step 4: Simplify right side
    17,952.40x = 269,156,997.12
  5. Step 5: Solve for x
    x = 269,156,997.12/17,952.40
  6. Step 6: Final answer
    x = 14,992.81

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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.