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Finding the Fourth Proportional to 15,778.32, 23,674.47 and 8,381.01

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Solution

The fourth proportional to 15,778.32, 23,674.47 and 8,381.01 is: 12,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.32 : 23,674.47 = 8,381.01 : x
  2. Step 2: Convert to fraction form
    15,778.32/23,674.47 = 8,381.01/x
  3. Step 3: Cross multiply
    15,778.32x = 23,674.47 × 8,381.01
  4. Step 4: Simplify right side
    15,778.32x = 198,415,969.81
  5. Step 5: Solve for x
    x = 198,415,969.81/15,778.32
  6. Step 6: Final answer
    x = 12,575.23

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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.