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Finding the Fourth Proportional to 14,115.22, 19,430.11 and 12,200.16

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Solution

The fourth proportional to 14,115.22, 19,430.11 and 12,200.16 is: 16,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.22 : 19,430.11 = 12,200.16 : x
  2. Step 2: Convert to fraction form
    14,115.22/19,430.11 = 12,200.16/x
  3. Step 3: Cross multiply
    14,115.22x = 19,430.11 × 12,200.16
  4. Step 4: Simplify right side
    14,115.22x = 237,050,450.82
  5. Step 5: Solve for x
    x = 237,050,450.82/14,115.22
  6. Step 6: Final answer
    x = 16,793.96

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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.