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Finding the Fourth Proportional to 15,203.50, 22,808.28 and 5,341.44

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Solution

The fourth proportional to 15,203.50, 22,808.28 and 5,341.44 is: 8,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.50 : 22,808.28 = 5,341.44 : x
  2. Step 2: Convert to fraction form
    15,203.50/22,808.28 = 5,341.44/x
  3. Step 3: Cross multiply
    15,203.50x = 22,808.28 × 5,341.44
  4. Step 4: Simplify right side
    15,203.50x = 121,829,164.68
  5. Step 5: Solve for x
    x = 121,829,164.68/15,203.50
  6. Step 6: Final answer
    x = 8,013.23

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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.