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Finding the Fourth Proportional to 17,813.61, 24,582.11 and 9,856.17

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Solution

The fourth proportional to 17,813.61, 24,582.11 and 9,856.17 is: 13,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.61 : 24,582.11 = 9,856.17 : x
  2. Step 2: Convert to fraction form
    17,813.61/24,582.11 = 9,856.17/x
  3. Step 3: Cross multiply
    17,813.61x = 24,582.11 × 9,856.17
  4. Step 4: Simplify right side
    17,813.61x = 242,285,405.84
  5. Step 5: Solve for x
    x = 242,285,405.84/17,813.61
  6. Step 6: Final answer
    x = 13,601.14

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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.