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Finding the Fourth Proportional to 15,774.14, 21,779.24 and 9,808.49

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Solution

The fourth proportional to 15,774.14, 21,779.24 and 9,808.49 is: 13,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.14 : 21,779.24 = 9,808.49 : x
  2. Step 2: Convert to fraction form
    15,774.14/21,779.24 = 9,808.49/x
  3. Step 3: Cross multiply
    15,774.14x = 21,779.24 × 9,808.49
  4. Step 4: Simplify right side
    15,774.14x = 213,621,463.15
  5. Step 5: Solve for x
    x = 213,621,463.15/15,774.14
  6. Step 6: Final answer
    x = 13,542.51

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