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Finding the Fourth Proportional to 23,103.72, 34,655.58 and 9,243

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Solution

The fourth proportional to 23,103.72, 34,655.58 and 9,243 is: 13,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.72 : 34,655.58 = 9,243 : x
  2. Step 2: Convert to fraction form
    23,103.72/34,655.58 = 9,243/x
  3. Step 3: Cross multiply
    23,103.72x = 34,655.58 × 9,243
  4. Step 4: Simplify right side
    23,103.72x = 320,321,525.94
  5. Step 5: Solve for x
    x = 320,321,525.94/23,103.72
  6. Step 6: Final answer
    x = 13,864.50

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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.