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Finding the Fourth Proportional to 12,592.86, 17,379.72 and 7,214.25

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Solution

The fourth proportional to 12,592.86, 17,379.72 and 7,214.25 is: 9,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,592.86 : 17,379.72 = 7,214.25 : x
  2. Step 2: Convert to fraction form
    12,592.86/17,379.72 = 7,214.25/x
  3. Step 3: Cross multiply
    12,592.86x = 17,379.72 × 7,214.25
  4. Step 4: Simplify right side
    12,592.86x = 125,381,645.01
  5. Step 5: Solve for x
    x = 125,381,645.01/12,592.86
  6. Step 6: Final answer
    x = 9,956.57

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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.