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Finding the Fourth Proportional to 14,843.16, 22,262.56 and 5,607

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Solution

The fourth proportional to 14,843.16, 22,262.56 and 5,607 is: 8,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.16 : 22,262.56 = 5,607 : x
  2. Step 2: Convert to fraction form
    14,843.16/22,262.56 = 5,607/x
  3. Step 3: Cross multiply
    14,843.16x = 22,262.56 × 5,607
  4. Step 4: Simplify right side
    14,843.16x = 124,826,173.92
  5. Step 5: Solve for x
    x = 124,826,173.92/14,843.16
  6. Step 6: Final answer
    x = 8,409.68

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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.