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Finding the Fourth Proportional to 25,579.98, 38,363.90 and 9,779.21

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Solution

The fourth proportional to 25,579.98, 38,363.90 and 9,779.21 is: 14,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,579.98 : 38,363.90 = 9,779.21 : x
  2. Step 2: Convert to fraction form
    25,579.98/38,363.90 = 9,779.21/x
  3. Step 3: Cross multiply
    25,579.98x = 38,363.90 × 9,779.21
  4. Step 4: Simplify right side
    25,579.98x = 375,168,634.52
  5. Step 5: Solve for x
    x = 375,168,634.52/25,579.98
  6. Step 6: Final answer
    x = 14,666.49

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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.