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Finding the Fourth Proportional to 14,264.33, 21,391.04 and 5,713.16

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Solution

The fourth proportional to 14,264.33, 21,391.04 and 5,713.16 is: 8,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.33 : 21,391.04 = 5,713.16 : x
  2. Step 2: Convert to fraction form
    14,264.33/21,391.04 = 5,713.16/x
  3. Step 3: Cross multiply
    14,264.33x = 21,391.04 × 5,713.16
  4. Step 4: Simplify right side
    14,264.33x = 122,210,298.57
  5. Step 5: Solve for x
    x = 122,210,298.57/14,264.33
  6. Step 6: Final answer
    x = 8,567.55

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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.