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Finding the Fourth Proportional to 14,107.16, 21,160.92 and 6,314.36

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Solution

The fourth proportional to 14,107.16, 21,160.92 and 6,314.36 is: 9,471.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.16 : 21,160.92 = 6,314.36 : x
  2. Step 2: Convert to fraction form
    14,107.16/21,160.92 = 6,314.36/x
  3. Step 3: Cross multiply
    14,107.16x = 21,160.92 × 6,314.36
  4. Step 4: Simplify right side
    14,107.16x = 133,617,666.81
  5. Step 5: Solve for x
    x = 133,617,666.81/14,107.16
  6. Step 6: Final answer
    x = 9,471.62

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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.