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Finding the Fourth Proportional to 16,498.76, 22,765.59 and 9,328.41

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Solution

The fourth proportional to 16,498.76, 22,765.59 and 9,328.41 is: 12,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.76 : 22,765.59 = 9,328.41 : x
  2. Step 2: Convert to fraction form
    16,498.76/22,765.59 = 9,328.41/x
  3. Step 3: Cross multiply
    16,498.76x = 22,765.59 × 9,328.41
  4. Step 4: Simplify right side
    16,498.76x = 212,366,757.41
  5. Step 5: Solve for x
    x = 212,366,757.41/16,498.76
  6. Step 6: Final answer
    x = 12,871.68

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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.