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Finding the Fourth Proportional to 22,713.66, 34,073.73 and 7,132.50

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Solution

The fourth proportional to 22,713.66, 34,073.73 and 7,132.50 is: 10,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.66 : 34,073.73 = 7,132.50 : x
  2. Step 2: Convert to fraction form
    22,713.66/34,073.73 = 7,132.50/x
  3. Step 3: Cross multiply
    22,713.66x = 34,073.73 × 7,132.50
  4. Step 4: Simplify right side
    22,713.66x = 243,030,879.23
  5. Step 5: Solve for x
    x = 243,030,879.23/22,713.66
  6. Step 6: Final answer
    x = 10,699.77

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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.