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Finding the Fourth Proportional to 23,176.32, 34,745.76 and 9,312

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Solution

The fourth proportional to 23,176.32, 34,745.76 and 9,312 is: 13,960.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.32 : 34,745.76 = 9,312 : x
  2. Step 2: Convert to fraction form
    23,176.32/34,745.76 = 9,312/x
  3. Step 3: Cross multiply
    23,176.32x = 34,745.76 × 9,312
  4. Step 4: Simplify right side
    23,176.32x = 323,552,517.12
  5. Step 5: Solve for x
    x = 323,552,517.12/23,176.32
  6. Step 6: Final answer
    x = 13,960.48

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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.