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Finding the Fourth Proportional to 14,083.54, 19,433.94 and 8,417.16

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Solution

The fourth proportional to 14,083.54, 19,433.94 and 8,417.16 is: 11,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.54 : 19,433.94 = 8,417.16 : x
  2. Step 2: Convert to fraction form
    14,083.54/19,433.94 = 8,417.16/x
  3. Step 3: Cross multiply
    14,083.54x = 19,433.94 × 8,417.16
  4. Step 4: Simplify right side
    14,083.54x = 163,578,610.96
  5. Step 5: Solve for x
    x = 163,578,610.96/14,083.54
  6. Step 6: Final answer
    x = 11,614.88

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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.