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Finding the Fourth Proportional to 12,267.64, 16,938.89 and 9,430.62

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Solution

The fourth proportional to 12,267.64, 16,938.89 and 9,430.62 is: 13,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.64 : 16,938.89 = 9,430.62 : x
  2. Step 2: Convert to fraction form
    12,267.64/16,938.89 = 9,430.62/x
  3. Step 3: Cross multiply
    12,267.64x = 16,938.89 × 9,430.62
  4. Step 4: Simplify right side
    12,267.64x = 159,744,234.81
  5. Step 5: Solve for x
    x = 159,744,234.81/12,267.64
  6. Step 6: Final answer
    x = 13,021.59

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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.