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Finding the Fourth Proportional to 22,906.64, 34,364.28 and 7,320.08

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Solution

The fourth proportional to 22,906.64, 34,364.28 and 7,320.08 is: 10,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.64 : 34,364.28 = 7,320.08 : x
  2. Step 2: Convert to fraction form
    22,906.64/34,364.28 = 7,320.08/x
  3. Step 3: Cross multiply
    22,906.64x = 34,364.28 × 7,320.08
  4. Step 4: Simplify right side
    22,906.64x = 251,549,278.74
  5. Step 5: Solve for x
    x = 251,549,278.74/22,906.64
  6. Step 6: Final answer
    x = 10,981.50

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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.