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Finding the Fourth Proportional to 17,913.36, 24,721.38 and 9,955.74

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Solution

The fourth proportional to 17,913.36, 24,721.38 and 9,955.74 is: 13,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913.36 : 24,721.38 = 9,955.74 : x
  2. Step 2: Convert to fraction form
    17,913.36/24,721.38 = 9,955.74/x
  3. Step 3: Cross multiply
    17,913.36x = 24,721.38 × 9,955.74
  4. Step 4: Simplify right side
    17,913.36x = 246,119,631.72
  5. Step 5: Solve for x
    x = 246,119,631.72/17,913.36
  6. Step 6: Final answer
    x = 13,739.45

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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.