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Finding the Fourth Proportional to 12,830.40, 17,709.84 and 8,116.20

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Solution

The fourth proportional to 12,830.40, 17,709.84 and 8,116.20 is: 11,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.40 : 17,709.84 = 8,116.20 : x
  2. Step 2: Convert to fraction form
    12,830.40/17,709.84 = 8,116.20/x
  3. Step 3: Cross multiply
    12,830.40x = 17,709.84 × 8,116.20
  4. Step 4: Simplify right side
    12,830.40x = 143,736,603.41
  5. Step 5: Solve for x
    x = 143,736,603.41/12,830.40
  6. Step 6: Final answer
    x = 11,202.82

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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.