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Finding the Fourth Proportional to 14,078.49, 19,410.66 and 9,033.81

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Solution

The fourth proportional to 14,078.49, 19,410.66 and 9,033.81 is: 12,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.49 : 19,410.66 = 9,033.81 : x
  2. Step 2: Convert to fraction form
    14,078.49/19,410.66 = 9,033.81/x
  3. Step 3: Cross multiply
    14,078.49x = 19,410.66 × 9,033.81
  4. Step 4: Simplify right side
    14,078.49x = 175,352,214.41
  5. Step 5: Solve for x
    x = 175,352,214.41/14,078.49
  6. Step 6: Final answer
    x = 12,455.33

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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.