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Finding the Fourth Proportional to 14,338, 21,509.43 and 4,475.31

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Solution

The fourth proportional to 14,338, 21,509.43 and 4,475.31 is: 6,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338 : 21,509.43 = 4,475.31 : x
  2. Step 2: Convert to fraction form
    14,338/21,509.43 = 4,475.31/x
  3. Step 3: Cross multiply
    14,338x = 21,509.43 × 4,475.31
  4. Step 4: Simplify right side
    14,338x = 96,261,367.17
  5. Step 5: Solve for x
    x = 96,261,367.17/14,338
  6. Step 6: Final answer
    x = 6,713.72

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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.