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Finding the Fourth Proportional to 12,804.80, 19,210.82 and 9,298.31

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Solution

The fourth proportional to 12,804.80, 19,210.82 and 9,298.31 is: 13,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.80 : 19,210.82 = 9,298.31 : x
  2. Step 2: Convert to fraction form
    12,804.80/19,210.82 = 9,298.31/x
  3. Step 3: Cross multiply
    12,804.80x = 19,210.82 × 9,298.31
  4. Step 4: Simplify right side
    12,804.80x = 178,628,017.17
  5. Step 5: Solve for x
    x = 178,628,017.17/12,804.80
  6. Step 6: Final answer
    x = 13,950.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.