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Finding the Fourth Proportional to 22,921.74, 34,386.93 and 9,071.82

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Solution

The fourth proportional to 22,921.74, 34,386.93 and 9,071.82 is: 13,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921.74 : 34,386.93 = 9,071.82 : x
  2. Step 2: Convert to fraction form
    22,921.74/34,386.93 = 9,071.82/x
  3. Step 3: Cross multiply
    22,921.74x = 34,386.93 × 9,071.82
  4. Step 4: Simplify right side
    22,921.74x = 311,952,039.31
  5. Step 5: Solve for x
    x = 311,952,039.31/22,921.74
  6. Step 6: Final answer
    x = 13,609.44

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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.