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Finding the Fourth Proportional to 12,937.64, 19,412.22 and 5,823.32

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Solution

The fourth proportional to 12,937.64, 19,412.22 and 5,823.32 is: 8,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.64 : 19,412.22 = 5,823.32 : x
  2. Step 2: Convert to fraction form
    12,937.64/19,412.22 = 5,823.32/x
  3. Step 3: Cross multiply
    12,937.64x = 19,412.22 × 5,823.32
  4. Step 4: Simplify right side
    12,937.64x = 113,043,568.97
  5. Step 5: Solve for x
    x = 113,043,568.97/12,937.64
  6. Step 6: Final answer
    x = 8,737.57

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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.