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Finding the Fourth Proportional to 13,030.74, 19,542.34 and 6,363.12

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Solution

The fourth proportional to 13,030.74, 19,542.34 and 6,363.12 is: 9,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.74 : 19,542.34 = 6,363.12 : x
  2. Step 2: Convert to fraction form
    13,030.74/19,542.34 = 6,363.12/x
  3. Step 3: Cross multiply
    13,030.74x = 19,542.34 × 6,363.12
  4. Step 4: Simplify right side
    13,030.74x = 124,350,254.50
  5. Step 5: Solve for x
    x = 124,350,254.50/13,030.74
  6. Step 6: Final answer
    x = 9,542.84

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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.