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Finding the Fourth Proportional to 17,913.12, 24,720.12 and 9,955.12

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Solution

The fourth proportional to 17,913.12, 24,720.12 and 9,955.12 is: 13,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913.12 : 24,720.12 = 9,955.12 : x
  2. Step 2: Convert to fraction form
    17,913.12/24,720.12 = 9,955.12/x
  3. Step 3: Cross multiply
    17,913.12x = 24,720.12 × 9,955.12
  4. Step 4: Simplify right side
    17,913.12x = 246,091,761.01
  5. Step 5: Solve for x
    x = 246,091,761.01/17,913.12
  6. Step 6: Final answer
    x = 13,738.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.