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Finding the Fourth Proportional to 22,970.62, 34,434.06 and 7,377.31

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Solution

The fourth proportional to 22,970.62, 34,434.06 and 7,377.31 is: 11,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.62 : 34,434.06 = 7,377.31 : x
  2. Step 2: Convert to fraction form
    22,970.62/34,434.06 = 7,377.31/x
  3. Step 3: Cross multiply
    22,970.62x = 34,434.06 × 7,377.31
  4. Step 4: Simplify right side
    22,970.62x = 254,030,821.26
  5. Step 5: Solve for x
    x = 254,030,821.26/22,970.62
  6. Step 6: Final answer
    x = 11,058.94

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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.