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Finding the Fourth Proportional to 13,207.72, 19,818.10 and 6,188.22

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Solution

The fourth proportional to 13,207.72, 19,818.10 and 6,188.22 is: 9,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.72 : 19,818.10 = 6,188.22 : x
  2. Step 2: Convert to fraction form
    13,207.72/19,818.10 = 6,188.22/x
  3. Step 3: Cross multiply
    13,207.72x = 19,818.10 × 6,188.22
  4. Step 4: Simplify right side
    13,207.72x = 122,638,762.78
  5. Step 5: Solve for x
    x = 122,638,762.78/13,207.72
  6. Step 6: Final answer
    x = 9,285.38

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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.