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Finding the Fourth Proportional to 24,838.72, 37,261.60 and 7,309.76

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Solution

The fourth proportional to 24,838.72, 37,261.60 and 7,309.76 is: 10,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.72 : 37,261.60 = 7,309.76 : x
  2. Step 2: Convert to fraction form
    24,838.72/37,261.60 = 7,309.76/x
  3. Step 3: Cross multiply
    24,838.72x = 37,261.60 × 7,309.76
  4. Step 4: Simplify right side
    24,838.72x = 272,373,353.22
  5. Step 5: Solve for x
    x = 272,373,353.22/24,838.72
  6. Step 6: Final answer
    x = 10,965.68

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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.