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Finding the Fourth Proportional to 12,178.86, 16,804.62 and 7,397.82

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Solution

The fourth proportional to 12,178.86, 16,804.62 and 7,397.82 is: 10,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.86 : 16,804.62 = 7,397.82 : x
  2. Step 2: Convert to fraction form
    12,178.86/16,804.62 = 7,397.82/x
  3. Step 3: Cross multiply
    12,178.86x = 16,804.62 × 7,397.82
  4. Step 4: Simplify right side
    12,178.86x = 124,317,553.93
  5. Step 5: Solve for x
    x = 124,317,553.93/12,178.86
  6. Step 6: Final answer
    x = 10,207.65

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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.