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Finding the Fourth Proportional to 13,574.52, 20,363.98 and 4,807.52

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Solution

The fourth proportional to 13,574.52, 20,363.98 and 4,807.52 is: 7,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.52 : 20,363.98 = 4,807.52 : x
  2. Step 2: Convert to fraction form
    13,574.52/20,363.98 = 4,807.52/x
  3. Step 3: Cross multiply
    13,574.52x = 20,363.98 × 4,807.52
  4. Step 4: Simplify right side
    13,574.52x = 97,900,241.13
  5. Step 5: Solve for x
    x = 97,900,241.13/13,574.52
  6. Step 6: Final answer
    x = 7,212.06

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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.