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Finding the Fourth Proportional to 28,184.68, 42,270.26 and 9,465.40

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Solution

The fourth proportional to 28,184.68, 42,270.26 and 9,465.40 is: 14,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184.68 : 42,270.26 = 9,465.40 : x
  2. Step 2: Convert to fraction form
    28,184.68/42,270.26 = 9,465.40/x
  3. Step 3: Cross multiply
    28,184.68x = 42,270.26 × 9,465.40
  4. Step 4: Simplify right side
    28,184.68x = 400,104,919.00
  5. Step 5: Solve for x
    x = 400,104,919.00/28,184.68
  6. Step 6: Final answer
    x = 14,195.83

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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.