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Finding the Fourth Proportional to 13,548, 20,324.56 and 6,153.02

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Solution

The fourth proportional to 13,548, 20,324.56 and 6,153.02 is: 9,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548 : 20,324.56 = 6,153.02 : x
  2. Step 2: Convert to fraction form
    13,548/20,324.56 = 6,153.02/x
  3. Step 3: Cross multiply
    13,548x = 20,324.56 × 6,153.02
  4. Step 4: Simplify right side
    13,548x = 125,057,424.17
  5. Step 5: Solve for x
    x = 125,057,424.17/13,548
  6. Step 6: Final answer
    x = 9,230.69

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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.