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Finding the Fourth Proportional to 21,195.94, 31,799.45 and 12,302.72

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Solution

The fourth proportional to 21,195.94, 31,799.45 and 12,302.72 is: 18,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,195.94 : 31,799.45 = 12,302.72 : x
  2. Step 2: Convert to fraction form
    21,195.94/31,799.45 = 12,302.72/x
  3. Step 3: Cross multiply
    21,195.94x = 31,799.45 × 12,302.72
  4. Step 4: Simplify right side
    21,195.94x = 391,219,729.50
  5. Step 5: Solve for x
    x = 391,219,729.50/21,195.94
  6. Step 6: Final answer
    x = 18,457.30

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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.