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Finding the Fourth Proportional to 12,448.32, 17,187.36 and 7,734.72

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Solution

The fourth proportional to 12,448.32, 17,187.36 and 7,734.72 is: 10,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.32 : 17,187.36 = 7,734.72 : x
  2. Step 2: Convert to fraction form
    12,448.32/17,187.36 = 7,734.72/x
  3. Step 3: Cross multiply
    12,448.32x = 17,187.36 × 7,734.72
  4. Step 4: Simplify right side
    12,448.32x = 132,939,417.14
  5. Step 5: Solve for x
    x = 132,939,417.14/12,448.32
  6. Step 6: Final answer
    x = 10,679.31

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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.