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Finding the Fourth Proportional to 22,756.36, 34,149.91 and 7,965.40

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Solution

The fourth proportional to 22,756.36, 34,149.91 and 7,965.40 is: 11,953.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.36 : 34,149.91 = 7,965.40 : x
  2. Step 2: Convert to fraction form
    22,756.36/34,149.91 = 7,965.40/x
  3. Step 3: Cross multiply
    22,756.36x = 34,149.91 × 7,965.40
  4. Step 4: Simplify right side
    22,756.36x = 272,017,693.11
  5. Step 5: Solve for x
    x = 272,017,693.11/22,756.36
  6. Step 6: Final answer
    x = 11,953.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.