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Finding the Fourth Proportional to 28,186.41, 42,283.50 and 9,471.80

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Solution

The fourth proportional to 28,186.41, 42,283.50 and 9,471.80 is: 14,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,186.41 : 42,283.50 = 9,471.80 : x
  2. Step 2: Convert to fraction form
    28,186.41/42,283.50 = 9,471.80/x
  3. Step 3: Cross multiply
    28,186.41x = 42,283.50 × 9,471.80
  4. Step 4: Simplify right side
    28,186.41x = 400,500,643.88
  5. Step 5: Solve for x
    x = 400,500,643.88/28,186.41
  6. Step 6: Final answer
    x = 14,209.00

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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.