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Finding the Fourth Proportional to 28,143.06, 42,200.16 and 9,416.40

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Solution

The fourth proportional to 28,143.06, 42,200.16 and 9,416.40 is: 14,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,143.06 : 42,200.16 = 9,416.40 : x
  2. Step 2: Convert to fraction form
    28,143.06/42,200.16 = 9,416.40/x
  3. Step 3: Cross multiply
    28,143.06x = 42,200.16 × 9,416.40
  4. Step 4: Simplify right side
    28,143.06x = 397,373,586.62
  5. Step 5: Solve for x
    x = 397,373,586.62/28,143.06
  6. Step 6: Final answer
    x = 14,119.77

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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.