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Finding the Fourth Proportional to 28,188.06, 42,288.58 and 8,467

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Solution

The fourth proportional to 28,188.06, 42,288.58 and 8,467 is: 12,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,188.06 : 42,288.58 = 8,467 : x
  2. Step 2: Convert to fraction form
    28,188.06/42,288.58 = 8,467/x
  3. Step 3: Cross multiply
    28,188.06x = 42,288.58 × 8,467
  4. Step 4: Simplify right side
    28,188.06x = 358,057,406.86
  5. Step 5: Solve for x
    x = 358,057,406.86/28,188.06
  6. Step 6: Final answer
    x = 12,702.45

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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.