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Finding the Fourth Proportional to 23,187.76, 34,788.16 and 7,616.32

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Solution

The fourth proportional to 23,187.76, 34,788.16 and 7,616.32 is: 11,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.76 : 34,788.16 = 7,616.32 : x
  2. Step 2: Convert to fraction form
    23,187.76/34,788.16 = 7,616.32/x
  3. Step 3: Cross multiply
    23,187.76x = 34,788.16 × 7,616.32
  4. Step 4: Simplify right side
    23,187.76x = 264,957,758.77
  5. Step 5: Solve for x
    x = 264,957,758.77/23,187.76
  6. Step 6: Final answer
    x = 11,426.62

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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.