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Finding the Fourth Proportional to 14,110.40, 19,463.54 and 9,081.20

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Solution

The fourth proportional to 14,110.40, 19,463.54 and 9,081.20 is: 12,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110.40 : 19,463.54 = 9,081.20 : x
  2. Step 2: Convert to fraction form
    14,110.40/19,463.54 = 9,081.20/x
  3. Step 3: Cross multiply
    14,110.40x = 19,463.54 × 9,081.20
  4. Step 4: Simplify right side
    14,110.40x = 176,752,299.45
  5. Step 5: Solve for x
    x = 176,752,299.45/14,110.40
  6. Step 6: Final answer
    x = 12,526.38

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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.