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Finding the Fourth Proportional to 24,395.29, 33,664.64 and 13,784.69

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Solution

The fourth proportional to 24,395.29, 33,664.64 and 13,784.69 is: 19,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395.29 : 33,664.64 = 13,784.69 : x
  2. Step 2: Convert to fraction form
    24,395.29/33,664.64 = 13,784.69/x
  3. Step 3: Cross multiply
    24,395.29x = 33,664.64 × 13,784.69
  4. Step 4: Simplify right side
    24,395.29x = 464,056,641.60
  5. Step 5: Solve for x
    x = 464,056,641.60/24,395.29
  6. Step 6: Final answer
    x = 19,022.39

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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.