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Finding the Fourth Proportional to 14,446.59, 19,945.86 and 9,672.66

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Solution

The fourth proportional to 14,446.59, 19,945.86 and 9,672.66 is: 13,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.59 : 19,945.86 = 9,672.66 : x
  2. Step 2: Convert to fraction form
    14,446.59/19,945.86 = 9,672.66/x
  3. Step 3: Cross multiply
    14,446.59x = 19,945.86 × 9,672.66
  4. Step 4: Simplify right side
    14,446.59x = 192,929,522.19
  5. Step 5: Solve for x
    x = 192,929,522.19/14,446.59
  6. Step 6: Final answer
    x = 13,354.68

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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.