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Finding the Fourth Proportional to 12,184.86, 16,813.86 and 7,079.58

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Solution

The fourth proportional to 12,184.86, 16,813.86 and 7,079.58 is: 9,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.86 : 16,813.86 = 7,079.58 : x
  2. Step 2: Convert to fraction form
    12,184.86/16,813.86 = 7,079.58/x
  3. Step 3: Cross multiply
    12,184.86x = 16,813.86 × 7,079.58
  4. Step 4: Simplify right side
    12,184.86x = 119,035,066.98
  5. Step 5: Solve for x
    x = 119,035,066.98/12,184.86
  6. Step 6: Final answer
    x = 9,769.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.