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Finding the Fourth Proportional to 22,632, 33,956.64 and 8,782.08

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Solution

The fourth proportional to 22,632, 33,956.64 and 8,782.08 is: 13,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632 : 33,956.64 = 8,782.08 : x
  2. Step 2: Convert to fraction form
    22,632/33,956.64 = 8,782.08/x
  3. Step 3: Cross multiply
    22,632x = 33,956.64 × 8,782.08
  4. Step 4: Simplify right side
    22,632x = 298,209,929.01
  5. Step 5: Solve for x
    x = 298,209,929.01/22,632
  6. Step 6: Final answer
    x = 13,176.47

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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.