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Finding the Fourth Proportional to 23,283.50, 34,926.54 and 6,642.25

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Solution

The fourth proportional to 23,283.50, 34,926.54 and 6,642.25 is: 9,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.50 : 34,926.54 = 6,642.25 : x
  2. Step 2: Convert to fraction form
    23,283.50/34,926.54 = 6,642.25/x
  3. Step 3: Cross multiply
    23,283.50x = 34,926.54 × 6,642.25
  4. Step 4: Simplify right side
    23,283.50x = 231,990,931.91
  5. Step 5: Solve for x
    x = 231,990,931.91/23,283.50
  6. Step 6: Final answer
    x = 9,963.75

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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.