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Finding the Fourth Proportional to 17,037, 23,511.42 and 9,585

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Solution

The fourth proportional to 17,037, 23,511.42 and 9,585 is: 13,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037 : 23,511.42 = 9,585 : x
  2. Step 2: Convert to fraction form
    17,037/23,511.42 = 9,585/x
  3. Step 3: Cross multiply
    17,037x = 23,511.42 × 9,585
  4. Step 4: Simplify right side
    17,037x = 225,356,960.70
  5. Step 5: Solve for x
    x = 225,356,960.70/17,037
  6. Step 6: Final answer
    x = 13,227.50

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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.