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Finding the Fourth Proportional to 13,977.16, 19,289.83 and 10,434.22

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Solution

The fourth proportional to 13,977.16, 19,289.83 and 10,434.22 is: 14,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.16 : 19,289.83 = 10,434.22 : x
  2. Step 2: Convert to fraction form
    13,977.16/19,289.83 = 10,434.22/x
  3. Step 3: Cross multiply
    13,977.16x = 19,289.83 × 10,434.22
  4. Step 4: Simplify right side
    13,977.16x = 201,274,233.53
  5. Step 5: Solve for x
    x = 201,274,233.53/13,977.16
  6. Step 6: Final answer
    x = 14,400.23

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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.