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Finding the Fourth Proportional to 14,004.36, 21,005.82 and 7,078.68

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Solution

The fourth proportional to 14,004.36, 21,005.82 and 7,078.68 is: 10,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.36 : 21,005.82 = 7,078.68 : x
  2. Step 2: Convert to fraction form
    14,004.36/21,005.82 = 7,078.68/x
  3. Step 3: Cross multiply
    14,004.36x = 21,005.82 × 7,078.68
  4. Step 4: Simplify right side
    14,004.36x = 148,693,477.92
  5. Step 5: Solve for x
    x = 148,693,477.92/14,004.36
  6. Step 6: Final answer
    x = 10,617.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.