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Finding the Fourth Proportional to 13,787.70, 19,019.01 and 10,006.48

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Solution

The fourth proportional to 13,787.70, 19,019.01 and 10,006.48 is: 13,803.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.70 : 19,019.01 = 10,006.48 : x
  2. Step 2: Convert to fraction form
    13,787.70/19,019.01 = 10,006.48/x
  3. Step 3: Cross multiply
    13,787.70x = 19,019.01 × 10,006.48
  4. Step 4: Simplify right side
    13,787.70x = 190,313,343.18
  5. Step 5: Solve for x
    x = 190,313,343.18/13,787.70
  6. Step 6: Final answer
    x = 13,803.12

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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.