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Finding the Fourth Proportional to 17,098.70, 23,595.00 and 10,023.75

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Solution

The fourth proportional to 17,098.70, 23,595.00 and 10,023.75 is: 13,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.70 : 23,595.00 = 10,023.75 : x
  2. Step 2: Convert to fraction form
    17,098.70/23,595.00 = 10,023.75/x
  3. Step 3: Cross multiply
    17,098.70x = 23,595.00 × 10,023.75
  4. Step 4: Simplify right side
    17,098.70x = 236,510,343.66
  5. Step 5: Solve for x
    x = 236,510,343.66/17,098.70
  6. Step 6: Final answer
    x = 13,832.07

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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.