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Finding the Fourth Proportional to 23,215, 34,776.38 and 11,492.44

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Solution

The fourth proportional to 23,215, 34,776.38 and 11,492.44 is: 17,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215 : 34,776.38 = 11,492.44 : x
  2. Step 2: Convert to fraction form
    23,215/34,776.38 = 11,492.44/x
  3. Step 3: Cross multiply
    23,215x = 34,776.38 × 11,492.44
  4. Step 4: Simplify right side
    23,215x = 399,665,460.57
  5. Step 5: Solve for x
    x = 399,665,460.57/23,215
  6. Step 6: Final answer
    x = 17,215.83

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1.5x scale

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.