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Finding the Fourth Proportional to 14,197.46, 19,586.73 and 9,419.66

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Solution

The fourth proportional to 14,197.46, 19,586.73 and 9,419.66 is: 12,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.46 : 19,586.73 = 9,419.66 : x
  2. Step 2: Convert to fraction form
    14,197.46/19,586.73 = 9,419.66/x
  3. Step 3: Cross multiply
    14,197.46x = 19,586.73 × 9,419.66
  4. Step 4: Simplify right side
    14,197.46x = 184,500,337.11
  5. Step 5: Solve for x
    x = 184,500,337.11/14,197.46
  6. Step 6: Final answer
    x = 12,995.31

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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.