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Finding the Fourth Proportional to 12,374.50, 17,076.93 and 6,709.24

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Solution

The fourth proportional to 12,374.50, 17,076.93 and 6,709.24 is: 9,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.50 : 17,076.93 = 6,709.24 : x
  2. Step 2: Convert to fraction form
    12,374.50/17,076.93 = 6,709.24/x
  3. Step 3: Cross multiply
    12,374.50x = 17,076.93 × 6,709.24
  4. Step 4: Simplify right side
    12,374.50x = 114,573,221.83
  5. Step 5: Solve for x
    x = 114,573,221.83/12,374.50
  6. Step 6: Final answer
    x = 9,258.82

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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.