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Finding the Fourth Proportional to 12,801.22, 19,189.50 and 6,564.16

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Solution

The fourth proportional to 12,801.22, 19,189.50 and 6,564.16 is: 9,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.22 : 19,189.50 = 6,564.16 : x
  2. Step 2: Convert to fraction form
    12,801.22/19,189.50 = 6,564.16/x
  3. Step 3: Cross multiply
    12,801.22x = 19,189.50 × 6,564.16
  4. Step 4: Simplify right side
    12,801.22x = 125,962,948.32
  5. Step 5: Solve for x
    x = 125,962,948.32/12,801.22
  6. Step 6: Final answer
    x = 9,839.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.