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Finding the Fourth Proportional to 22,724.50, 34,088.06 and 6,930.07

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Solution

The fourth proportional to 22,724.50, 34,088.06 and 6,930.07 is: 10,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724.50 : 34,088.06 = 6,930.07 : x
  2. Step 2: Convert to fraction form
    22,724.50/34,088.06 = 6,930.07/x
  3. Step 3: Cross multiply
    22,724.50x = 34,088.06 × 6,930.07
  4. Step 4: Simplify right side
    22,724.50x = 236,232,530.76
  5. Step 5: Solve for x
    x = 236,232,530.76/22,724.50
  6. Step 6: Final answer
    x = 10,395.50

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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.