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Finding the Fourth Proportional to 13,816.49, 19,068.14 and 8,152.97

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Solution

The fourth proportional to 13,816.49, 19,068.14 and 8,152.97 is: 11,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.49 : 19,068.14 = 8,152.97 : x
  2. Step 2: Convert to fraction form
    13,816.49/19,068.14 = 8,152.97/x
  3. Step 3: Cross multiply
    13,816.49x = 19,068.14 × 8,152.97
  4. Step 4: Simplify right side
    13,816.49x = 155,461,898.42
  5. Step 5: Solve for x
    x = 155,461,898.42/13,816.49
  6. Step 6: Final answer
    x = 11,251.91

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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.