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Finding the Fourth Proportional to 15,828.26, 23,744.22 and 7,062.08

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Solution

The fourth proportional to 15,828.26, 23,744.22 and 7,062.08 is: 10,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.26 : 23,744.22 = 7,062.08 : x
  2. Step 2: Convert to fraction form
    15,828.26/23,744.22 = 7,062.08/x
  3. Step 3: Cross multiply
    15,828.26x = 23,744.22 × 7,062.08
  4. Step 4: Simplify right side
    15,828.26x = 167,683,581.18
  5. Step 5: Solve for x
    x = 167,683,581.18/15,828.26
  6. Step 6: Final answer
    x = 10,593.94

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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.