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Finding the Fourth Proportional to 21,530.22, 29,712.95 and 12,099.39

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Solution

The fourth proportional to 21,530.22, 29,712.95 and 12,099.39 is: 16,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.22 : 29,712.95 = 12,099.39 : x
  2. Step 2: Convert to fraction form
    21,530.22/29,712.95 = 12,099.39/x
  3. Step 3: Cross multiply
    21,530.22x = 29,712.95 × 12,099.39
  4. Step 4: Simplify right side
    21,530.22x = 359,508,509.60
  5. Step 5: Solve for x
    x = 359,508,509.60/21,530.22
  6. Step 6: Final answer
    x = 16,697.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.