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Finding the Fourth Proportional to 16,564.48, 22,859.40 and 9,493.20

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Solution

The fourth proportional to 16,564.48, 22,859.40 and 9,493.20 is: 13,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.48 : 22,859.40 = 9,493.20 : x
  2. Step 2: Convert to fraction form
    16,564.48/22,859.40 = 9,493.20/x
  3. Step 3: Cross multiply
    16,564.48x = 22,859.40 × 9,493.20
  4. Step 4: Simplify right side
    16,564.48x = 217,008,856.08
  5. Step 5: Solve for x
    x = 217,008,856.08/16,564.48
  6. Step 6: Final answer
    x = 13,100.86

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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.