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Finding the Fourth Proportional to 14,693.82, 22,042.13 and 4,833.18

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Solution

The fourth proportional to 14,693.82, 22,042.13 and 4,833.18 is: 7,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.82 : 22,042.13 = 4,833.18 : x
  2. Step 2: Convert to fraction form
    14,693.82/22,042.13 = 4,833.18/x
  3. Step 3: Cross multiply
    14,693.82x = 22,042.13 × 4,833.18
  4. Step 4: Simplify right side
    14,693.82x = 106,533,581.87
  5. Step 5: Solve for x
    x = 106,533,581.87/14,693.82
  6. Step 6: Final answer
    x = 7,250.23

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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.