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Finding the Fourth Proportional to 17,267.76, 23,829.40 and 9,815.76

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Solution

The fourth proportional to 17,267.76, 23,829.40 and 9,815.76 is: 13,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,267.76 : 23,829.40 = 9,815.76 : x
  2. Step 2: Convert to fraction form
    17,267.76/23,829.40 = 9,815.76/x
  3. Step 3: Cross multiply
    17,267.76x = 23,829.40 × 9,815.76
  4. Step 4: Simplify right side
    17,267.76x = 233,903,671.34
  5. Step 5: Solve for x
    x = 233,903,671.34/17,267.76
  6. Step 6: Final answer
    x = 13,545.69

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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.