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Finding the Fourth Proportional to 28,204.32, 42,297.96 and 8,477.64

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Solution

The fourth proportional to 28,204.32, 42,297.96 and 8,477.64 is: 12,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,204.32 : 42,297.96 = 8,477.64 : x
  2. Step 2: Convert to fraction form
    28,204.32/42,297.96 = 8,477.64/x
  3. Step 3: Cross multiply
    28,204.32x = 42,297.96 × 8,477.64
  4. Step 4: Simplify right side
    28,204.32x = 358,586,877.61
  5. Step 5: Solve for x
    x = 358,586,877.61/28,204.32
  6. Step 6: Final answer
    x = 12,713.90

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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.