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Finding the Fourth Proportional to 15,211.50, 22,820.13 and 7,003.50

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Solution

The fourth proportional to 15,211.50, 22,820.13 and 7,003.50 is: 10,506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.50 : 22,820.13 = 7,003.50 : x
  2. Step 2: Convert to fraction form
    15,211.50/22,820.13 = 7,003.50/x
  3. Step 3: Cross multiply
    15,211.50x = 22,820.13 × 7,003.50
  4. Step 4: Simplify right side
    15,211.50x = 159,820,780.46
  5. Step 5: Solve for x
    x = 159,820,780.46/15,211.50
  6. Step 6: Final answer
    x = 10,506.58

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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.