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Finding the Fourth Proportional to 23,096.52, 34,648.42 and 7,510.50

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Solution

The fourth proportional to 23,096.52, 34,648.42 and 7,510.50 is: 11,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096.52 : 34,648.42 = 7,510.50 : x
  2. Step 2: Convert to fraction form
    23,096.52/34,648.42 = 7,510.50/x
  3. Step 3: Cross multiply
    23,096.52x = 34,648.42 × 7,510.50
  4. Step 4: Simplify right side
    23,096.52x = 260,226,958.41
  5. Step 5: Solve for x
    x = 260,226,958.41/23,096.52
  6. Step 6: Final answer
    x = 11,266.93

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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.