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Finding the Fourth Proportional to 23,184.77, 34,783.64 and 7,613.33

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Solution

The fourth proportional to 23,184.77, 34,783.64 and 7,613.33 is: 11,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.77 : 34,783.64 = 7,613.33 : x
  2. Step 2: Convert to fraction form
    23,184.77/34,783.64 = 7,613.33/x
  3. Step 3: Cross multiply
    23,184.77x = 34,783.64 × 7,613.33
  4. Step 4: Simplify right side
    23,184.77x = 264,819,329.92
  5. Step 5: Solve for x
    x = 264,819,329.92/23,184.77
  6. Step 6: Final answer
    x = 11,422.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.