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Finding the Fourth Proportional to 13,500.16, 18,630.16 and 7,531.47

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Solution

The fourth proportional to 13,500.16, 18,630.16 and 7,531.47 is: 10,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.16 : 18,630.16 = 7,531.47 : x
  2. Step 2: Convert to fraction form
    13,500.16/18,630.16 = 7,531.47/x
  3. Step 3: Cross multiply
    13,500.16x = 18,630.16 × 7,531.47
  4. Step 4: Simplify right side
    13,500.16x = 140,312,491.14
  5. Step 5: Solve for x
    x = 140,312,491.14/13,500.16
  6. Step 6: Final answer
    x = 10,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.