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Finding the Fourth Proportional to 13,807.94, 20,711.77 and 9,126.81

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Solution

The fourth proportional to 13,807.94, 20,711.77 and 9,126.81 is: 13,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.94 : 20,711.77 = 9,126.81 : x
  2. Step 2: Convert to fraction form
    13,807.94/20,711.77 = 9,126.81/x
  3. Step 3: Cross multiply
    13,807.94x = 20,711.77 × 9,126.81
  4. Step 4: Simplify right side
    13,807.94x = 189,032,366.74
  5. Step 5: Solve for x
    x = 189,032,366.74/13,807.94
  6. Step 6: Final answer
    x = 13,690.13

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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.