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Finding the Fourth Proportional to 25,794.64, 38,690.88 and 8,264.08

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Solution

The fourth proportional to 25,794.64, 38,690.88 and 8,264.08 is: 12,395.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.64 : 38,690.88 = 8,264.08 : x
  2. Step 2: Convert to fraction form
    25,794.64/38,690.88 = 8,264.08/x
  3. Step 3: Cross multiply
    25,794.64x = 38,690.88 × 8,264.08
  4. Step 4: Simplify right side
    25,794.64x = 319,744,527.59
  5. Step 5: Solve for x
    x = 319,744,527.59/25,794.64
  6. Step 6: Final answer
    x = 12,395.77

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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.