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Finding the Fourth Proportional to 14,101.38, 19,459.05 and 7,726.69

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Solution

The fourth proportional to 14,101.38, 19,459.05 and 7,726.69 is: 10,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.38 : 19,459.05 = 7,726.69 : x
  2. Step 2: Convert to fraction form
    14,101.38/19,459.05 = 7,726.69/x
  3. Step 3: Cross multiply
    14,101.38x = 19,459.05 × 7,726.69
  4. Step 4: Simplify right side
    14,101.38x = 150,354,047.04
  5. Step 5: Solve for x
    x = 150,354,047.04/14,101.38
  6. Step 6: Final answer
    x = 10,662.36

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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.