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Finding the Fourth Proportional to 24,102.42, 36,161.34 and 7,465.74

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Solution

The fourth proportional to 24,102.42, 36,161.34 and 7,465.74 is: 11,201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.42 : 36,161.34 = 7,465.74 : x
  2. Step 2: Convert to fraction form
    24,102.42/36,161.34 = 7,465.74/x
  3. Step 3: Cross multiply
    24,102.42x = 36,161.34 × 7,465.74
  4. Step 4: Simplify right side
    24,102.42x = 269,971,162.49
  5. Step 5: Solve for x
    x = 269,971,162.49/24,102.42
  6. Step 6: Final answer
    x = 11,201.00

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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.