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Finding the Fourth Proportional to 15,115.54, 22,661.22 and 7,615.06

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Solution

The fourth proportional to 15,115.54, 22,661.22 and 7,615.06 is: 11,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.54 : 22,661.22 = 7,615.06 : x
  2. Step 2: Convert to fraction form
    15,115.54/22,661.22 = 7,615.06/x
  3. Step 3: Cross multiply
    15,115.54x = 22,661.22 × 7,615.06
  4. Step 4: Simplify right side
    15,115.54x = 172,566,549.97
  5. Step 5: Solve for x
    x = 172,566,549.97/15,115.54
  6. Step 6: Final answer
    x = 11,416.50

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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.