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Finding the Fourth Proportional to 26,143.91, 36,077.62 and 14,206.98

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Solution

The fourth proportional to 26,143.91, 36,077.62 and 14,206.98 is: 19,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143.91 : 36,077.62 = 14,206.98 : x
  2. Step 2: Convert to fraction form
    26,143.91/36,077.62 = 14,206.98/x
  3. Step 3: Cross multiply
    26,143.91x = 36,077.62 × 14,206.98
  4. Step 4: Simplify right side
    26,143.91x = 512,553,954.75
  5. Step 5: Solve for x
    x = 512,553,954.75/26,143.91
  6. Step 6: Final answer
    x = 19,605.10

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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.