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Finding the Fourth Proportional to 26,405.14, 36,439.14 and 14,468.26

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Solution

The fourth proportional to 26,405.14, 36,439.14 and 14,468.26 is: 19,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405.14 : 36,439.14 = 14,468.26 : x
  2. Step 2: Convert to fraction form
    26,405.14/36,439.14 = 14,468.26/x
  3. Step 3: Cross multiply
    26,405.14x = 36,439.14 × 14,468.26
  4. Step 4: Simplify right side
    26,405.14x = 527,210,951.70
  5. Step 5: Solve for x
    x = 527,210,951.70/26,405.14
  6. Step 6: Final answer
    x = 19,966.22

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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.