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Finding the Fourth Proportional to 24,738.72, 37,117.80 and 10,878

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Solution

The fourth proportional to 24,738.72, 37,117.80 and 10,878 is: 16,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.72 : 37,117.80 = 10,878 : x
  2. Step 2: Convert to fraction form
    24,738.72/37,117.80 = 10,878/x
  3. Step 3: Cross multiply
    24,738.72x = 37,117.80 × 10,878
  4. Step 4: Simplify right side
    24,738.72x = 403,767,428.40
  5. Step 5: Solve for x
    x = 403,767,428.40/24,738.72
  6. Step 6: Final answer
    x = 16,321.27

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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.