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Finding the Fourth Proportional to 23,283.38, 34,925.07 and 7,701

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Solution

The fourth proportional to 23,283.38, 34,925.07 and 7,701 is: 11,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283.38 : 34,925.07 = 7,701 : x
  2. Step 2: Convert to fraction form
    23,283.38/34,925.07 = 7,701/x
  3. Step 3: Cross multiply
    23,283.38x = 34,925.07 × 7,701
  4. Step 4: Simplify right side
    23,283.38x = 268,957,964.07
  5. Step 5: Solve for x
    x = 268,957,964.07/23,283.38
  6. Step 6: Final answer
    x = 11,551.50

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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.