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Finding the Fourth Proportional to 12,899.84, 17,804.95 and 7,866.83

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Solution

The fourth proportional to 12,899.84, 17,804.95 and 7,866.83 is: 10,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.84 : 17,804.95 = 7,866.83 : x
  2. Step 2: Convert to fraction form
    12,899.84/17,804.95 = 7,866.83/x
  3. Step 3: Cross multiply
    12,899.84x = 17,804.95 × 7,866.83
  4. Step 4: Simplify right side
    12,899.84x = 140,068,539.65
  5. Step 5: Solve for x
    x = 140,068,539.65/12,899.84
  6. Step 6: Final answer
    x = 10,858.17

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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.