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Finding the Fourth Proportional to 28,189.16, 42,283.84 and 9,468.66

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Solution

The fourth proportional to 28,189.16, 42,283.84 and 9,468.66 is: 14,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189.16 : 42,283.84 = 9,468.66 : x
  2. Step 2: Convert to fraction form
    28,189.16/42,283.84 = 9,468.66/x
  3. Step 3: Cross multiply
    28,189.16x = 42,283.84 × 9,468.66
  4. Step 4: Simplify right side
    28,189.16x = 400,371,304.45
  5. Step 5: Solve for x
    x = 400,371,304.45/28,189.16
  6. Step 6: Final answer
    x = 14,203.02

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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.