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Finding the Fourth Proportional to 12,820.80, 19,219.80 and 5,023.72

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Solution

The fourth proportional to 12,820.80, 19,219.80 and 5,023.72 is: 7,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.80 : 19,219.80 = 5,023.72 : x
  2. Step 2: Convert to fraction form
    12,820.80/19,219.80 = 5,023.72/x
  3. Step 3: Cross multiply
    12,820.80x = 19,219.80 × 5,023.72
  4. Step 4: Simplify right side
    12,820.80x = 96,554,893.66
  5. Step 5: Solve for x
    x = 96,554,893.66/12,820.80
  6. Step 6: Final answer
    x = 7,531.11

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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.