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Finding the Fourth Proportional to 24,771.76, 37,159.86 and 7,002.64

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Solution

The fourth proportional to 24,771.76, 37,159.86 and 7,002.64 is: 10,504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771.76 : 37,159.86 = 7,002.64 : x
  2. Step 2: Convert to fraction form
    24,771.76/37,159.86 = 7,002.64/x
  3. Step 3: Cross multiply
    24,771.76x = 37,159.86 × 7,002.64
  4. Step 4: Simplify right side
    24,771.76x = 260,217,122.03
  5. Step 5: Solve for x
    x = 260,217,122.03/24,771.76
  6. Step 6: Final answer
    x = 10,504.59

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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.