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Finding the Fourth Proportional to 15,187.13, 22,795.28 and 7,401.41

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Solution

The fourth proportional to 15,187.13, 22,795.28 and 7,401.41 is: 11,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,187.13 : 22,795.28 = 7,401.41 : x
  2. Step 2: Convert to fraction form
    15,187.13/22,795.28 = 7,401.41/x
  3. Step 3: Cross multiply
    15,187.13x = 22,795.28 × 7,401.41
  4. Step 4: Simplify right side
    15,187.13x = 168,717,062.36
  5. Step 5: Solve for x
    x = 168,717,062.36/15,187.13
  6. Step 6: Final answer
    x = 11,109.22

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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.