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Finding the Fourth Proportional to 17,335.98, 23,926.10 and 9,785.34

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Solution

The fourth proportional to 17,335.98, 23,926.10 and 9,785.34 is: 13,505.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,335.98 : 23,926.10 = 9,785.34 : x
  2. Step 2: Convert to fraction form
    17,335.98/23,926.10 = 9,785.34/x
  3. Step 3: Cross multiply
    17,335.98x = 23,926.10 × 9,785.34
  4. Step 4: Simplify right side
    17,335.98x = 234,124,974.45
  5. Step 5: Solve for x
    x = 234,124,974.45/17,335.98
  6. Step 6: Final answer
    x = 13,505.15

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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.