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Finding the Fourth Proportional to 24,190.68, 36,288.30 and 9,400.74

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Solution

The fourth proportional to 24,190.68, 36,288.30 and 9,400.74 is: 14,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.68 : 36,288.30 = 9,400.74 : x
  2. Step 2: Convert to fraction form
    24,190.68/36,288.30 = 9,400.74/x
  3. Step 3: Cross multiply
    24,190.68x = 36,288.30 × 9,400.74
  4. Step 4: Simplify right side
    24,190.68x = 341,136,873.34
  5. Step 5: Solve for x
    x = 341,136,873.34/24,190.68
  6. Step 6: Final answer
    x = 14,102.00

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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.