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Finding the Fourth Proportional to 17,230.76, 23,778.46 and 9,677.10

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Solution

The fourth proportional to 17,230.76, 23,778.46 and 9,677.10 is: 13,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,230.76 : 23,778.46 = 9,677.10 : x
  2. Step 2: Convert to fraction form
    17,230.76/23,778.46 = 9,677.10/x
  3. Step 3: Cross multiply
    17,230.76x = 23,778.46 × 9,677.10
  4. Step 4: Simplify right side
    17,230.76x = 230,106,595.71
  5. Step 5: Solve for x
    x = 230,106,595.71/17,230.76
  6. Step 6: Final answer
    x = 13,354.41

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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.