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Finding the Fourth Proportional to 25,415.98, 38,109.22 and 9,622.23

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Solution

The fourth proportional to 25,415.98, 38,109.22 and 9,622.23 is: 14,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,415.98 : 38,109.22 = 9,622.23 : x
  2. Step 2: Convert to fraction form
    25,415.98/38,109.22 = 9,622.23/x
  3. Step 3: Cross multiply
    25,415.98x = 38,109.22 × 9,622.23
  4. Step 4: Simplify right side
    25,415.98x = 366,695,513.00
  5. Step 5: Solve for x
    x = 366,695,513.00/25,415.98
  6. Step 6: Final answer
    x = 14,427.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.