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Finding the Fourth Proportional to 24,564.42, 33,898.98 and 13,386.42

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Solution

The fourth proportional to 24,564.42, 33,898.98 and 13,386.42 is: 18,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.42 : 33,898.98 = 13,386.42 : x
  2. Step 2: Convert to fraction form
    24,564.42/33,898.98 = 13,386.42/x
  3. Step 3: Cross multiply
    24,564.42x = 33,898.98 × 13,386.42
  4. Step 4: Simplify right side
    24,564.42x = 453,785,983.85
  5. Step 5: Solve for x
    x = 453,785,983.85/24,564.42
  6. Step 6: Final answer
    x = 18,473.30

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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.