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Finding the Fourth Proportional to 23,377.82, 35,045.46 and 10,225.44

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Solution

The fourth proportional to 23,377.82, 35,045.46 and 10,225.44 is: 15,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,377.82 : 35,045.46 = 10,225.44 : x
  2. Step 2: Convert to fraction form
    23,377.82/35,045.46 = 10,225.44/x
  3. Step 3: Cross multiply
    23,377.82x = 35,045.46 × 10,225.44
  4. Step 4: Simplify right side
    23,377.82x = 358,355,248.50
  5. Step 5: Solve for x
    x = 358,355,248.50/23,377.82
  6. Step 6: Final answer
    x = 15,328.86

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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.