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Finding the Fourth Proportional to 28,184.64, 42,277.65 and 9,465.30

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Solution

The fourth proportional to 28,184.64, 42,277.65 and 9,465.30 is: 14,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,184.64 : 42,277.65 = 9,465.30 : x
  2. Step 2: Convert to fraction form
    28,184.64/42,277.65 = 9,465.30/x
  3. Step 3: Cross multiply
    28,184.64x = 42,277.65 × 9,465.30
  4. Step 4: Simplify right side
    28,184.64x = 400,170,640.55
  5. Step 5: Solve for x
    x = 400,170,640.55/28,184.64
  6. Step 6: Final answer
    x = 14,198.18

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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.