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Finding the Fourth Proportional to 14,960.64, 22,412.94 and 13,420.17

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Solution

The fourth proportional to 14,960.64, 22,412.94 and 13,420.17 is: 20,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960.64 : 22,412.94 = 13,420.17 : x
  2. Step 2: Convert to fraction form
    14,960.64/22,412.94 = 13,420.17/x
  3. Step 3: Cross multiply
    14,960.64x = 22,412.94 × 13,420.17
  4. Step 4: Simplify right side
    14,960.64x = 300,785,465.00
  5. Step 5: Solve for x
    x = 300,785,465.00/14,960.64
  6. Step 6: Final answer
    x = 20,105.12

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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.