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Finding the Fourth Proportional to 16,849.57, 25,266.25 and 9,831.65

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Solution

The fourth proportional to 16,849.57, 25,266.25 and 9,831.65 is: 14,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,849.57 : 25,266.25 = 9,831.65 : x
  2. Step 2: Convert to fraction form
    16,849.57/25,266.25 = 9,831.65/x
  3. Step 3: Cross multiply
    16,849.57x = 25,266.25 × 9,831.65
  4. Step 4: Simplify right side
    16,849.57x = 248,408,757.47
  5. Step 5: Solve for x
    x = 248,408,757.47/16,849.57
  6. Step 6: Final answer
    x = 14,742.74

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