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Finding the Fourth Proportional to 14,381.01, 21,574.71 and 5,616

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Solution

The fourth proportional to 14,381.01, 21,574.71 and 5,616 is: 8,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.01 : 21,574.71 = 5,616 : x
  2. Step 2: Convert to fraction form
    14,381.01/21,574.71 = 5,616/x
  3. Step 3: Cross multiply
    14,381.01x = 21,574.71 × 5,616
  4. Step 4: Simplify right side
    14,381.01x = 121,163,571.36
  5. Step 5: Solve for x
    x = 121,163,571.36/14,381.01
  6. Step 6: Final answer
    x = 8,425.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.