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Finding the Fourth Proportional to 14,754.63, 22,146.52 and 7,829.13

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Solution

The fourth proportional to 14,754.63, 22,146.52 and 7,829.13 is: 11,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,754.63 : 22,146.52 = 7,829.13 : x
  2. Step 2: Convert to fraction form
    14,754.63/22,146.52 = 7,829.13/x
  3. Step 3: Cross multiply
    14,754.63x = 22,146.52 × 7,829.13
  4. Step 4: Simplify right side
    14,754.63x = 173,387,984.13
  5. Step 5: Solve for x
    x = 173,387,984.13/14,754.63
  6. Step 6: Final answer
    x = 11,751.43

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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.