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Finding the Fourth Proportional to 17,856.48, 24,642 and 9,898.83

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Solution

The fourth proportional to 17,856.48, 24,642 and 9,898.83 is: 13,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.48 : 24,642 = 9,898.83 : x
  2. Step 2: Convert to fraction form
    17,856.48/24,642 = 9,898.83/x
  3. Step 3: Cross multiply
    17,856.48x = 24,642 × 9,898.83
  4. Step 4: Simplify right side
    17,856.48x = 243,926,968.86
  5. Step 5: Solve for x
    x = 243,926,968.86/17,856.48
  6. Step 6: Final answer
    x = 13,660.42

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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.