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Finding the Fourth Proportional to 28,178.14, 42,274.24 and 8,457.06

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Solution

The fourth proportional to 28,178.14, 42,274.24 and 8,457.06 is: 12,687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.14 : 42,274.24 = 8,457.06 : x
  2. Step 2: Convert to fraction form
    28,178.14/42,274.24 = 8,457.06/x
  3. Step 3: Cross multiply
    28,178.14x = 42,274.24 × 8,457.06
  4. Step 4: Simplify right side
    28,178.14x = 357,515,784.13
  5. Step 5: Solve for x
    x = 357,515,784.13/28,178.14
  6. Step 6: Final answer
    x = 12,687.70

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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.