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Finding the Fourth Proportional to 13,202.47, 19,803.72 and 3,207.22

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Solution

The fourth proportional to 13,202.47, 19,803.72 and 3,207.22 is: 4,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.47 : 19,803.72 = 3,207.22 : x
  2. Step 2: Convert to fraction form
    13,202.47/19,803.72 = 3,207.22/x
  3. Step 3: Cross multiply
    13,202.47x = 19,803.72 × 3,207.22
  4. Step 4: Simplify right side
    13,202.47x = 63,514,878.01
  5. Step 5: Solve for x
    x = 63,514,878.01/13,202.47
  6. Step 6: Final answer
    x = 4,810.83

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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.