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Finding the Fourth Proportional to 25,762.53, 38,647.04 and 9,118.65

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Solution

The fourth proportional to 25,762.53, 38,647.04 and 9,118.65 is: 13,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.53 : 38,647.04 = 9,118.65 : x
  2. Step 2: Convert to fraction form
    25,762.53/38,647.04 = 9,118.65/x
  3. Step 3: Cross multiply
    25,762.53x = 38,647.04 × 9,118.65
  4. Step 4: Simplify right side
    25,762.53x = 352,408,785.70
  5. Step 5: Solve for x
    x = 352,408,785.70/25,762.53
  6. Step 6: Final answer
    x = 13,679.12

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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.