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Finding the Fourth Proportional to 16,542.72, 22,820.40 and 10,244.16

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Solution

The fourth proportional to 16,542.72, 22,820.40 and 10,244.16 is: 14,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.72 : 22,820.40 = 10,244.16 : x
  2. Step 2: Convert to fraction form
    16,542.72/22,820.40 = 10,244.16/x
  3. Step 3: Cross multiply
    16,542.72x = 22,820.40 × 10,244.16
  4. Step 4: Simplify right side
    16,542.72x = 233,775,828.86
  5. Step 5: Solve for x
    x = 233,775,828.86/16,542.72
  6. Step 6: Final answer
    x = 14,131.64

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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.