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Finding the Fourth Proportional to 17,695.94, 24,419.88 and 9,738.16

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Solution

The fourth proportional to 17,695.94, 24,419.88 and 9,738.16 is: 13,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.94 : 24,419.88 = 9,738.16 : x
  2. Step 2: Convert to fraction form
    17,695.94/24,419.88 = 9,738.16/x
  3. Step 3: Cross multiply
    17,695.94x = 24,419.88 × 9,738.16
  4. Step 4: Simplify right side
    17,695.94x = 237,804,698.62
  5. Step 5: Solve for x
    x = 237,804,698.62/17,695.94
  6. Step 6: Final answer
    x = 13,438.38

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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.