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Finding the Fourth Proportional to 12,455.90, 17,188.83 and 6,866.78

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Solution

The fourth proportional to 12,455.90, 17,188.83 and 6,866.78 is: 9,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.90 : 17,188.83 = 6,866.78 : x
  2. Step 2: Convert to fraction form
    12,455.90/17,188.83 = 6,866.78/x
  3. Step 3: Cross multiply
    12,455.90x = 17,188.83 × 6,866.78
  4. Step 4: Simplify right side
    12,455.90x = 118,031,914.07
  5. Step 5: Solve for x
    x = 118,031,914.07/12,455.90
  6. Step 6: Final answer
    x = 9,475.98

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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.