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Finding the Fourth Proportional to 24,832.40, 37,219.80 and 10,031.60

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Solution

The fourth proportional to 24,832.40, 37,219.80 and 10,031.60 is: 15,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,832.40 : 37,219.80 = 10,031.60 : x
  2. Step 2: Convert to fraction form
    24,832.40/37,219.80 = 10,031.60/x
  3. Step 3: Cross multiply
    24,832.40x = 37,219.80 × 10,031.60
  4. Step 4: Simplify right side
    24,832.40x = 373,374,145.68
  5. Step 5: Solve for x
    x = 373,374,145.68/24,832.40
  6. Step 6: Final answer
    x = 15,035.77

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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.