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Finding the Fourth Proportional to 15,977.58, 22,049.73 and 8,904

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Solution

The fourth proportional to 15,977.58, 22,049.73 and 8,904 is: 12,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.58 : 22,049.73 = 8,904 : x
  2. Step 2: Convert to fraction form
    15,977.58/22,049.73 = 8,904/x
  3. Step 3: Cross multiply
    15,977.58x = 22,049.73 × 8,904
  4. Step 4: Simplify right side
    15,977.58x = 196,330,795.92
  5. Step 5: Solve for x
    x = 196,330,795.92/15,977.58
  6. Step 6: Final answer
    x = 12,287.89

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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.