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Finding the Fourth Proportional to 14,495.26, 21,751.25 and 7,831.78

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Solution

The fourth proportional to 14,495.26, 21,751.25 and 7,831.78 is: 11,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.26 : 21,751.25 = 7,831.78 : x
  2. Step 2: Convert to fraction form
    14,495.26/21,751.25 = 7,831.78/x
  3. Step 3: Cross multiply
    14,495.26x = 21,751.25 × 7,831.78
  4. Step 4: Simplify right side
    14,495.26x = 170,350,966.98
  5. Step 5: Solve for x
    x = 170,350,966.98/14,495.26
  6. Step 6: Final answer
    x = 11,752.18

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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.