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Finding the Fourth Proportional to 17,856.23, 24,642.41 and 9,898.61

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Solution

The fourth proportional to 17,856.23, 24,642.41 and 9,898.61 is: 13,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.23 : 24,642.41 = 9,898.61 : x
  2. Step 2: Convert to fraction form
    17,856.23/24,642.41 = 9,898.61/x
  3. Step 3: Cross multiply
    17,856.23x = 24,642.41 × 9,898.61
  4. Step 4: Simplify right side
    17,856.23x = 243,925,433.35
  5. Step 5: Solve for x
    x = 243,925,433.35/17,856.23
  6. Step 6: Final answer
    x = 13,660.53

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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.