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Finding the Fourth Proportional to 14,616, 21,925.04 and 4,228.56

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Solution

The fourth proportional to 14,616, 21,925.04 and 4,228.56 is: 6,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616 : 21,925.04 = 4,228.56 : x
  2. Step 2: Convert to fraction form
    14,616/21,925.04 = 4,228.56/x
  3. Step 3: Cross multiply
    14,616x = 21,925.04 × 4,228.56
  4. Step 4: Simplify right side
    14,616x = 92,711,347.14
  5. Step 5: Solve for x
    x = 92,711,347.14/14,616
  6. Step 6: Final answer
    x = 6,343.14

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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.