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Finding the Fourth Proportional to 25,966.63, 38,956.50 and 7,246.65

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Solution

The fourth proportional to 25,966.63, 38,956.50 and 7,246.65 is: 10,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,966.63 : 38,956.50 = 7,246.65 : x
  2. Step 2: Convert to fraction form
    25,966.63/38,956.50 = 7,246.65/x
  3. Step 3: Cross multiply
    25,966.63x = 38,956.50 × 7,246.65
  4. Step 4: Simplify right side
    25,966.63x = 282,304,232.41
  5. Step 5: Solve for x
    x = 282,304,232.41/25,966.63
  6. Step 6: Final answer
    x = 10,871.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.