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Finding the Fourth Proportional to 16,277.80, 22,466.34 and 9,564.04

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Solution

The fourth proportional to 16,277.80, 22,466.34 and 9,564.04 is: 13,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.80 : 22,466.34 = 9,564.04 : x
  2. Step 2: Convert to fraction form
    16,277.80/22,466.34 = 9,564.04/x
  3. Step 3: Cross multiply
    16,277.80x = 22,466.34 × 9,564.04
  4. Step 4: Simplify right side
    16,277.80x = 214,868,974.41
  5. Step 5: Solve for x
    x = 214,868,974.41/16,277.80
  6. Step 6: Final answer
    x = 13,200.12

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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.