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Finding the Fourth Proportional to 23,184.69, 34,768.80 and 8,389.77

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Solution

The fourth proportional to 23,184.69, 34,768.80 and 8,389.77 is: 12,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.69 : 34,768.80 = 8,389.77 : x
  2. Step 2: Convert to fraction form
    23,184.69/34,768.80 = 8,389.77/x
  3. Step 3: Cross multiply
    23,184.69x = 34,768.80 × 8,389.77
  4. Step 4: Simplify right side
    23,184.69x = 291,702,235.18
  5. Step 5: Solve for x
    x = 291,702,235.18/23,184.69
  6. Step 6: Final answer
    x = 12,581.68

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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.