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Finding the Fourth Proportional to 12,634.60, 17,437.32 and 7,258.70

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Solution

The fourth proportional to 12,634.60, 17,437.32 and 7,258.70 is: 10,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.60 : 17,437.32 = 7,258.70 : x
  2. Step 2: Convert to fraction form
    12,634.60/17,437.32 = 7,258.70/x
  3. Step 3: Cross multiply
    12,634.60x = 17,437.32 × 7,258.70
  4. Step 4: Simplify right side
    12,634.60x = 126,572,274.68
  5. Step 5: Solve for x
    x = 126,572,274.68/12,634.60
  6. Step 6: Final answer
    x = 10,017.91

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