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Finding the Fourth Proportional to 19,858.80, 29,779.22 and 14,288.79

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Solution

The fourth proportional to 19,858.80, 29,779.22 and 14,288.79 is: 21,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.80 : 29,779.22 = 14,288.79 : x
  2. Step 2: Convert to fraction form
    19,858.80/29,779.22 = 14,288.79/x
  3. Step 3: Cross multiply
    19,858.80x = 29,779.22 × 14,288.79
  4. Step 4: Simplify right side
    19,858.80x = 425,508,949.50
  5. Step 5: Solve for x
    x = 425,508,949.50/19,858.80
  6. Step 6: Final answer
    x = 21,426.72

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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.