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Finding the Fourth Proportional to 12,980.18, 17,909.96 and 8,262.74

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Solution

The fourth proportional to 12,980.18, 17,909.96 and 8,262.74 is: 11,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.18 : 17,909.96 = 8,262.74 : x
  2. Step 2: Convert to fraction form
    12,980.18/17,909.96 = 8,262.74/x
  3. Step 3: Cross multiply
    12,980.18x = 17,909.96 × 8,262.74
  4. Step 4: Simplify right side
    12,980.18x = 147,985,342.89
  5. Step 5: Solve for x
    x = 147,985,342.89/12,980.18
  6. Step 6: Final answer
    x = 11,400.87

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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.