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Finding the Fourth Proportional to 23,077.91, 34,616.36 and 6,437.50

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Solution

The fourth proportional to 23,077.91, 34,616.36 and 6,437.50 is: 9,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.91 : 34,616.36 = 6,437.50 : x
  2. Step 2: Convert to fraction form
    23,077.91/34,616.36 = 6,437.50/x
  3. Step 3: Cross multiply
    23,077.91x = 34,616.36 × 6,437.50
  4. Step 4: Simplify right side
    23,077.91x = 222,842,817.50
  5. Step 5: Solve for x
    x = 222,842,817.50/23,077.91
  6. Step 6: Final answer
    x = 9,656.11

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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.