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Finding the Fourth Proportional to 23,077.93, 34,617.16 and 6,436.94

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Solution

The fourth proportional to 23,077.93, 34,617.16 and 6,436.94 is: 9,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.93 : 34,617.16 = 6,436.94 : x
  2. Step 2: Convert to fraction form
    23,077.93/34,617.16 = 6,436.94/x
  3. Step 3: Cross multiply
    23,077.93x = 34,617.16 × 6,436.94
  4. Step 4: Simplify right side
    23,077.93x = 222,828,727.04
  5. Step 5: Solve for x
    x = 222,828,727.04/23,077.93
  6. Step 6: Final answer
    x = 9,655.49

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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.