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Finding the Fourth Proportional to 23,046.56, 34,561.14 and 7,460

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Solution

The fourth proportional to 23,046.56, 34,561.14 and 7,460 is: 11,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,046.56 : 34,561.14 = 7,460 : x
  2. Step 2: Convert to fraction form
    23,046.56/34,561.14 = 7,460/x
  3. Step 3: Cross multiply
    23,046.56x = 34,561.14 × 7,460
  4. Step 4: Simplify right side
    23,046.56x = 257,826,104.40
  5. Step 5: Solve for x
    x = 257,826,104.40/23,046.56
  6. Step 6: Final answer
    x = 11,187.18

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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.