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Finding the Fourth Proportional to 14,078.05, 19,431.17 and 8,416.15

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Solution

The fourth proportional to 14,078.05, 19,431.17 and 8,416.15 is: 11,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.05 : 19,431.17 = 8,416.15 : x
  2. Step 2: Convert to fraction form
    14,078.05/19,431.17 = 8,416.15/x
  3. Step 3: Cross multiply
    14,078.05x = 19,431.17 × 8,416.15
  4. Step 4: Simplify right side
    14,078.05x = 163,535,582.30
  5. Step 5: Solve for x
    x = 163,535,582.30/14,078.05
  6. Step 6: Final answer
    x = 11,616.35

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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.