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Finding the Fourth Proportional to 25,806.03, 38,714.52 and 8,288.16

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Solution

The fourth proportional to 25,806.03, 38,714.52 and 8,288.16 is: 12,434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.03 : 38,714.52 = 8,288.16 : x
  2. Step 2: Convert to fraction form
    25,806.03/38,714.52 = 8,288.16/x
  3. Step 3: Cross multiply
    25,806.03x = 38,714.52 × 8,288.16
  4. Step 4: Simplify right side
    25,806.03x = 320,872,136.08
  5. Step 5: Solve for x
    x = 320,872,136.08/25,806.03
  6. Step 6: Final answer
    x = 12,434.00

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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.