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Finding the Fourth Proportional to 22,623.52, 33,924.32 and 7,827.20

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Solution

The fourth proportional to 22,623.52, 33,924.32 and 7,827.20 is: 11,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.52 : 33,924.32 = 7,827.20 : x
  2. Step 2: Convert to fraction form
    22,623.52/33,924.32 = 7,827.20/x
  3. Step 3: Cross multiply
    22,623.52x = 33,924.32 × 7,827.20
  4. Step 4: Simplify right side
    22,623.52x = 265,532,437.50
  5. Step 5: Solve for x
    x = 265,532,437.50/22,623.52
  6. Step 6: Final answer
    x = 11,737.01

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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.