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Finding the Fourth Proportional to 16,265.11, 22,433.47 and 14,000.31

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Solution

The fourth proportional to 16,265.11, 22,433.47 and 14,000.31 is: 19,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.11 : 22,433.47 = 14,000.31 : x
  2. Step 2: Convert to fraction form
    16,265.11/22,433.47 = 14,000.31/x
  3. Step 3: Cross multiply
    16,265.11x = 22,433.47 × 14,000.31
  4. Step 4: Simplify right side
    16,265.11x = 314,075,534.38
  5. Step 5: Solve for x
    x = 314,075,534.38/16,265.11
  6. Step 6: Final answer
    x = 19,309.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.