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Finding the Fourth Proportional to 12,816.84, 17,702.94 and 9,274.44

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Solution

The fourth proportional to 12,816.84, 17,702.94 and 9,274.44 is: 12,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.84 : 17,702.94 = 9,274.44 : x
  2. Step 2: Convert to fraction form
    12,816.84/17,702.94 = 9,274.44/x
  3. Step 3: Cross multiply
    12,816.84x = 17,702.94 × 9,274.44
  4. Step 4: Simplify right side
    12,816.84x = 164,184,854.85
  5. Step 5: Solve for x
    x = 164,184,854.85/12,816.84
  6. Step 6: Final answer
    x = 12,810.09

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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.