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Finding the Fourth Proportional to 13,827.86, 19,082.52 and 7,540.28

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Solution

The fourth proportional to 13,827.86, 19,082.52 and 7,540.28 is: 10,405.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827.86 : 19,082.52 = 7,540.28 : x
  2. Step 2: Convert to fraction form
    13,827.86/19,082.52 = 7,540.28/x
  3. Step 3: Cross multiply
    13,827.86x = 19,082.52 × 7,540.28
  4. Step 4: Simplify right side
    13,827.86x = 143,887,543.91
  5. Step 5: Solve for x
    x = 143,887,543.91/13,827.86
  6. Step 6: Final answer
    x = 10,405.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.