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Finding the Fourth Proportional to 14,571, 21,854.64 and 4,709.25

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Solution

The fourth proportional to 14,571, 21,854.64 and 4,709.25 is: 7,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571 : 21,854.64 = 4,709.25 : x
  2. Step 2: Convert to fraction form
    14,571/21,854.64 = 4,709.25/x
  3. Step 3: Cross multiply
    14,571x = 21,854.64 × 4,709.25
  4. Step 4: Simplify right side
    14,571x = 102,918,963.42
  5. Step 5: Solve for x
    x = 102,918,963.42/14,571
  6. Step 6: Final answer
    x = 7,063.27

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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.