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Finding the Fourth Proportional to 22,345.98, 33,518.99 and 9,189.15

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Solution

The fourth proportional to 22,345.98, 33,518.99 and 9,189.15 is: 13,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.98 : 33,518.99 = 9,189.15 : x
  2. Step 2: Convert to fraction form
    22,345.98/33,518.99 = 9,189.15/x
  3. Step 3: Cross multiply
    22,345.98x = 33,518.99 × 9,189.15
  4. Step 4: Simplify right side
    22,345.98x = 308,011,026.96
  5. Step 5: Solve for x
    x = 308,011,026.96/22,345.98
  6. Step 6: Final answer
    x = 13,783.73

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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.