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Finding the Fourth Proportional to 14,349.80, 19,802.14 and 8,299.10

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Solution

The fourth proportional to 14,349.80, 19,802.14 and 8,299.10 is: 11,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.80 : 19,802.14 = 8,299.10 : x
  2. Step 2: Convert to fraction form
    14,349.80/19,802.14 = 8,299.10/x
  3. Step 3: Cross multiply
    14,349.80x = 19,802.14 × 8,299.10
  4. Step 4: Simplify right side
    14,349.80x = 164,339,968.83
  5. Step 5: Solve for x
    x = 164,339,968.83/14,349.80
  6. Step 6: Final answer
    x = 11,452.42

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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.