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Finding the Fourth Proportional to 12,364.76, 17,050.82 and 8,107.40

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Solution

The fourth proportional to 12,364.76, 17,050.82 and 8,107.40 is: 11,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.76 : 17,050.82 = 8,107.40 : x
  2. Step 2: Convert to fraction form
    12,364.76/17,050.82 = 8,107.40/x
  3. Step 3: Cross multiply
    12,364.76x = 17,050.82 × 8,107.40
  4. Step 4: Simplify right side
    12,364.76x = 138,237,818.07
  5. Step 5: Solve for x
    x = 138,237,818.07/12,364.76
  6. Step 6: Final answer
    x = 11,179.98

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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.