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Finding the Fourth Proportional to 13,300.29, 19,949.54 and 5,905.17

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Solution

The fourth proportional to 13,300.29, 19,949.54 and 5,905.17 is: 8,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,300.29 : 19,949.54 = 5,905.17 : x
  2. Step 2: Convert to fraction form
    13,300.29/19,949.54 = 5,905.17/x
  3. Step 3: Cross multiply
    13,300.29x = 19,949.54 × 5,905.17
  4. Step 4: Simplify right side
    13,300.29x = 117,805,395.60
  5. Step 5: Solve for x
    x = 117,805,395.60/13,300.29
  6. Step 6: Final answer
    x = 8,857.36

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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.