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Finding the Fourth Proportional to 12,692, 17,510.90 and 8,219.18

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Solution

The fourth proportional to 12,692, 17,510.90 and 8,219.18 is: 11,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692 : 17,510.90 = 8,219.18 : x
  2. Step 2: Convert to fraction form
    12,692/17,510.90 = 8,219.18/x
  3. Step 3: Cross multiply
    12,692x = 17,510.90 × 8,219.18
  4. Step 4: Simplify right side
    12,692x = 143,925,239.06
  5. Step 5: Solve for x
    x = 143,925,239.06/12,692
  6. Step 6: Final answer
    x = 11,339.84

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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.