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Finding the Fourth Proportional to 23,246.88, 34,871.53 and 7,664.50

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Solution

The fourth proportional to 23,246.88, 34,871.53 and 7,664.50 is: 11,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246.88 : 34,871.53 = 7,664.50 : x
  2. Step 2: Convert to fraction form
    23,246.88/34,871.53 = 7,664.50/x
  3. Step 3: Cross multiply
    23,246.88x = 34,871.53 × 7,664.50
  4. Step 4: Simplify right side
    23,246.88x = 267,272,822.52
  5. Step 5: Solve for x
    x = 267,272,822.52/23,246.88
  6. Step 6: Final answer
    x = 11,497.15

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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.