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Finding the Fourth Proportional to 24,698.97, 37,051.50 and 8,054.55

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Solution

The fourth proportional to 24,698.97, 37,051.50 and 8,054.55 is: 12,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698.97 : 37,051.50 = 8,054.55 : x
  2. Step 2: Convert to fraction form
    24,698.97/37,051.50 = 8,054.55/x
  3. Step 3: Cross multiply
    24,698.97x = 37,051.50 × 8,054.55
  4. Step 4: Simplify right side
    24,698.97x = 298,433,159.33
  5. Step 5: Solve for x
    x = 298,433,159.33/24,698.97
  6. Step 6: Final answer
    x = 12,082.82

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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.