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Finding the Fourth Proportional to 14,433.71, 19,911.36 and 9,400.85

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Solution

The fourth proportional to 14,433.71, 19,911.36 and 9,400.85 is: 12,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.71 : 19,911.36 = 9,400.85 : x
  2. Step 2: Convert to fraction form
    14,433.71/19,911.36 = 9,400.85/x
  3. Step 3: Cross multiply
    14,433.71x = 19,911.36 × 9,400.85
  4. Step 4: Simplify right side
    14,433.71x = 187,183,708.66
  5. Step 5: Solve for x
    x = 187,183,708.66/14,433.71
  6. Step 6: Final answer
    x = 12,968.51

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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.