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Finding the Fourth Proportional to 13,232.63, 18,258.15 and 7,640.39

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Solution

The fourth proportional to 13,232.63, 18,258.15 and 7,640.39 is: 10,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.63 : 18,258.15 = 7,640.39 : x
  2. Step 2: Convert to fraction form
    13,232.63/18,258.15 = 7,640.39/x
  3. Step 3: Cross multiply
    13,232.63x = 18,258.15 × 7,640.39
  4. Step 4: Simplify right side
    13,232.63x = 139,499,386.68
  5. Step 5: Solve for x
    x = 139,499,386.68/13,232.63
  6. Step 6: Final answer
    x = 10,542.08

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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.