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Finding the Fourth Proportional to 12,340.32, 17,029.90 and 7,302.70

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Solution

The fourth proportional to 12,340.32, 17,029.90 and 7,302.70 is: 10,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.32 : 17,029.90 = 7,302.70 : x
  2. Step 2: Convert to fraction form
    12,340.32/17,029.90 = 7,302.70/x
  3. Step 3: Cross multiply
    12,340.32x = 17,029.90 × 7,302.70
  4. Step 4: Simplify right side
    12,340.32x = 124,364,228.09
  5. Step 5: Solve for x
    x = 124,364,228.09/12,340.32
  6. Step 6: Final answer
    x = 10,077.88

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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.