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Finding the Fourth Proportional to 28,131.64, 42,196.02 and 8,410.36

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Solution

The fourth proportional to 28,131.64, 42,196.02 and 8,410.36 is: 12,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,131.64 : 42,196.02 = 8,410.36 : x
  2. Step 2: Convert to fraction form
    28,131.64/42,196.02 = 8,410.36/x
  3. Step 3: Cross multiply
    28,131.64x = 42,196.02 × 8,410.36
  4. Step 4: Simplify right side
    28,131.64x = 354,883,718.77
  5. Step 5: Solve for x
    x = 354,883,718.77/28,131.64
  6. Step 6: Final answer
    x = 12,615.11

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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.