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Finding the Fourth Proportional to 24,352.40, 33,606.24 and 13,742.00

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Solution

The fourth proportional to 24,352.40, 33,606.24 and 13,742.00 is: 18,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352.40 : 33,606.24 = 13,742.00 : x
  2. Step 2: Convert to fraction form
    24,352.40/33,606.24 = 13,742.00/x
  3. Step 3: Cross multiply
    24,352.40x = 33,606.24 × 13,742.00
  4. Step 4: Simplify right side
    24,352.40x = 461,816,782.05
  5. Step 5: Solve for x
    x = 461,816,782.05/24,352.40
  6. Step 6: Final answer
    x = 18,963.92

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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.