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Finding the Fourth Proportional to 13,191.99, 19,787.82 and 5,298

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Solution

The fourth proportional to 13,191.99, 19,787.82 and 5,298 is: 7,946.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.99 : 19,787.82 = 5,298 : x
  2. Step 2: Convert to fraction form
    13,191.99/19,787.82 = 5,298/x
  3. Step 3: Cross multiply
    13,191.99x = 19,787.82 × 5,298
  4. Step 4: Simplify right side
    13,191.99x = 104,835,870.36
  5. Step 5: Solve for x
    x = 104,835,870.36/13,191.99
  6. Step 6: Final answer
    x = 7,946.93

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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.