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Finding the Fourth Proportional to 12,388.76, 17,097.38 and 7,085.24

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Solution

The fourth proportional to 12,388.76, 17,097.38 and 7,085.24 is: 9,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.76 : 17,097.38 = 7,085.24 : x
  2. Step 2: Convert to fraction form
    12,388.76/17,097.38 = 7,085.24/x
  3. Step 3: Cross multiply
    12,388.76x = 17,097.38 × 7,085.24
  4. Step 4: Simplify right side
    12,388.76x = 121,139,040.67
  5. Step 5: Solve for x
    x = 121,139,040.67/12,388.76
  6. Step 6: Final answer
    x = 9,778.14

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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.