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Finding the Fourth Proportional to 28,079.36, 42,082.60 and 11,420

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Solution

The fourth proportional to 28,079.36, 42,082.60 and 11,420 is: 17,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,079.36 : 42,082.60 = 11,420 : x
  2. Step 2: Convert to fraction form
    28,079.36/42,082.60 = 11,420/x
  3. Step 3: Cross multiply
    28,079.36x = 42,082.60 × 11,420
  4. Step 4: Simplify right side
    28,079.36x = 480,583,292
  5. Step 5: Solve for x
    x = 480,583,292/28,079.36
  6. Step 6: Final answer
    x = 17,115.18

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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.