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Finding the Fourth Proportional to 22,495.68, 31,021.07 and 13,541.40

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Solution

The fourth proportional to 22,495.68, 31,021.07 and 13,541.40 is: 18,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.68 : 31,021.07 = 13,541.40 : x
  2. Step 2: Convert to fraction form
    22,495.68/31,021.07 = 13,541.40/x
  3. Step 3: Cross multiply
    22,495.68x = 31,021.07 × 13,541.40
  4. Step 4: Simplify right side
    22,495.68x = 420,068,649.59
  5. Step 5: Solve for x
    x = 420,068,649.59/22,495.68
  6. Step 6: Final answer
    x = 18,673.30

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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.