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Finding the Fourth Proportional to 17,656.39, 24,364.61 and 9,698.95

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Solution

The fourth proportional to 17,656.39, 24,364.61 and 9,698.95 is: 13,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.39 : 24,364.61 = 9,698.95 : x
  2. Step 2: Convert to fraction form
    17,656.39/24,364.61 = 9,698.95/x
  3. Step 3: Cross multiply
    17,656.39x = 24,364.61 × 9,698.95
  4. Step 4: Simplify right side
    17,656.39x = 236,311,012.34
  5. Step 5: Solve for x
    x = 236,311,012.34/17,656.39
  6. Step 6: Final answer
    x = 13,383.88

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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.