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Finding the Fourth Proportional to 11,123.16, 16,703.82 and 9,876.57

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Solution

The fourth proportional to 11,123.16, 16,703.82 and 9,876.57 is: 14,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.16 : 16,703.82 = 9,876.57 : x
  2. Step 2: Convert to fraction form
    11,123.16/16,703.82 = 9,876.57/x
  3. Step 3: Cross multiply
    11,123.16x = 16,703.82 × 9,876.57
  4. Step 4: Simplify right side
    11,123.16x = 164,976,447.50
  5. Step 5: Solve for x
    x = 164,976,447.50/11,123.16
  6. Step 6: Final answer
    x = 14,831.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.