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Finding the Fourth Proportional to 21,510.92, 32,263.95 and 7,468.49

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Solution

The fourth proportional to 21,510.92, 32,263.95 and 7,468.49 is: 11,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,510.92 : 32,263.95 = 7,468.49 : x
  2. Step 2: Convert to fraction form
    21,510.92/32,263.95 = 7,468.49/x
  3. Step 3: Cross multiply
    21,510.92x = 32,263.95 × 7,468.49
  4. Step 4: Simplify right side
    21,510.92x = 240,962,987.94
  5. Step 5: Solve for x
    x = 240,962,987.94/21,510.92
  6. Step 6: Final answer
    x = 11,201.89

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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.