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Finding the Fourth Proportional to 25,005.65, 34,508.72 and 13,674.47

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Solution

The fourth proportional to 25,005.65, 34,508.72 and 13,674.47 is: 18,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005.65 : 34,508.72 = 13,674.47 : x
  2. Step 2: Convert to fraction form
    25,005.65/34,508.72 = 13,674.47/x
  3. Step 3: Cross multiply
    25,005.65x = 34,508.72 × 13,674.47
  4. Step 4: Simplify right side
    25,005.65x = 471,888,576.84
  5. Step 5: Solve for x
    x = 471,888,576.84/25,005.65
  6. Step 6: Final answer
    x = 18,871.28

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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.