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Finding the Fourth Proportional to 12,537.18, 17,296.72 and 7,501.54

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Solution

The fourth proportional to 12,537.18, 17,296.72 and 7,501.54 is: 10,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.18 : 17,296.72 = 7,501.54 : x
  2. Step 2: Convert to fraction form
    12,537.18/17,296.72 = 7,501.54/x
  3. Step 3: Cross multiply
    12,537.18x = 17,296.72 × 7,501.54
  4. Step 4: Simplify right side
    12,537.18x = 129,752,036.95
  5. Step 5: Solve for x
    x = 129,752,036.95/12,537.18
  6. Step 6: Final answer
    x = 10,349.38

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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.