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Finding the Fourth Proportional to 15,942.83, 22,002.54 and 8,774.17

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Solution

The fourth proportional to 15,942.83, 22,002.54 and 8,774.17 is: 12,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,942.83 : 22,002.54 = 8,774.17 : x
  2. Step 2: Convert to fraction form
    15,942.83/22,002.54 = 8,774.17/x
  3. Step 3: Cross multiply
    15,942.83x = 22,002.54 × 8,774.17
  4. Step 4: Simplify right side
    15,942.83x = 193,054,062.25
  5. Step 5: Solve for x
    x = 193,054,062.25/15,942.83
  6. Step 6: Final answer
    x = 12,109.15

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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.