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Finding the Fourth Proportional to 15,159.72, 22,736.34 and 4,769.16

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Solution

The fourth proportional to 15,159.72, 22,736.34 and 4,769.16 is: 7,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,159.72 : 22,736.34 = 4,769.16 : x
  2. Step 2: Convert to fraction form
    15,159.72/22,736.34 = 4,769.16/x
  3. Step 3: Cross multiply
    15,159.72x = 22,736.34 × 4,769.16
  4. Step 4: Simplify right side
    15,159.72x = 108,433,243.27
  5. Step 5: Solve for x
    x = 108,433,243.27/15,159.72
  6. Step 6: Final answer
    x = 7,152.72

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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.