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Finding the Fourth Proportional to 24,671.88, 37,008.20 and 7,141.76

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Solution

The fourth proportional to 24,671.88, 37,008.20 and 7,141.76 is: 10,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.88 : 37,008.20 = 7,141.76 : x
  2. Step 2: Convert to fraction form
    24,671.88/37,008.20 = 7,141.76/x
  3. Step 3: Cross multiply
    24,671.88x = 37,008.20 × 7,141.76
  4. Step 4: Simplify right side
    24,671.88x = 264,303,682.43
  5. Step 5: Solve for x
    x = 264,303,682.43/24,671.88
  6. Step 6: Final answer
    x = 10,712.75

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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.