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Finding the Fourth Proportional to 13,345, 20,013.90 and 5,024.44

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Solution

The fourth proportional to 13,345, 20,013.90 and 5,024.44 is: 7,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,345 : 20,013.90 = 5,024.44 : x
  2. Step 2: Convert to fraction form
    13,345/20,013.90 = 5,024.44/x
  3. Step 3: Cross multiply
    13,345x = 20,013.90 × 5,024.44
  4. Step 4: Simplify right side
    13,345x = 100,558,639.72
  5. Step 5: Solve for x
    x = 100,558,639.72/13,345
  6. Step 6: Final answer
    x = 7,535.30

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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.