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Finding the Fourth Proportional to 22,751.25, 34,116.89 and 11,499.68

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Solution

The fourth proportional to 22,751.25, 34,116.89 and 11,499.68 is: 17,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.25 : 34,116.89 = 11,499.68 : x
  2. Step 2: Convert to fraction form
    22,751.25/34,116.89 = 11,499.68/x
  3. Step 3: Cross multiply
    22,751.25x = 34,116.89 × 11,499.68
  4. Step 4: Simplify right side
    22,751.25x = 392,333,089.51
  5. Step 5: Solve for x
    x = 392,333,089.51/22,751.25
  6. Step 6: Final answer
    x = 17,244.46

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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.