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Finding the Fourth Proportional to 14,293, 21,440.14 and 4,933

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Solution

The fourth proportional to 14,293, 21,440.14 and 4,933 is: 7,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293 : 21,440.14 = 4,933 : x
  2. Step 2: Convert to fraction form
    14,293/21,440.14 = 4,933/x
  3. Step 3: Cross multiply
    14,293x = 21,440.14 × 4,933
  4. Step 4: Simplify right side
    14,293x = 105,764,210.62
  5. Step 5: Solve for x
    x = 105,764,210.62/14,293
  6. Step 6: Final answer
    x = 7,399.72

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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.