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Finding the Fourth Proportional to 23,133, 34,704.36 and 9,282

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Solution

The fourth proportional to 23,133, 34,704.36 and 9,282 is: 13,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133 : 34,704.36 = 9,282 : x
  2. Step 2: Convert to fraction form
    23,133/34,704.36 = 9,282/x
  3. Step 3: Cross multiply
    23,133x = 34,704.36 × 9,282
  4. Step 4: Simplify right side
    23,133x = 322,125,869.52
  5. Step 5: Solve for x
    x = 322,125,869.52/23,133
  6. Step 6: Final answer
    x = 13,924.95

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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.