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Finding the Fourth Proportional to 14,433.92, 21,652 and 4,573.76

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Solution

The fourth proportional to 14,433.92, 21,652 and 4,573.76 is: 6,860.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.92 : 21,652 = 4,573.76 : x
  2. Step 2: Convert to fraction form
    14,433.92/21,652 = 4,573.76/x
  3. Step 3: Cross multiply
    14,433.92x = 21,652 × 4,573.76
  4. Step 4: Simplify right side
    14,433.92x = 99,031,051.52
  5. Step 5: Solve for x
    x = 99,031,051.52/14,433.92
  6. Step 6: Final answer
    x = 6,860.99

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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.