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Finding the Fourth Proportional to 12,858.46, 17,744.19 and 7,269.58

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Solution

The fourth proportional to 12,858.46, 17,744.19 and 7,269.58 is: 10,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.46 : 17,744.19 = 7,269.58 : x
  2. Step 2: Convert to fraction form
    12,858.46/17,744.19 = 7,269.58/x
  3. Step 3: Cross multiply
    12,858.46x = 17,744.19 × 7,269.58
  4. Step 4: Simplify right side
    12,858.46x = 128,992,808.74
  5. Step 5: Solve for x
    x = 128,992,808.74/12,858.46
  6. Step 6: Final answer
    x = 10,031.75

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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.