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Finding the Fourth Proportional to 13,884.24, 19,154.16 and 8,292

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Solution

The fourth proportional to 13,884.24, 19,154.16 and 8,292 is: 11,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.24 : 19,154.16 = 8,292 : x
  2. Step 2: Convert to fraction form
    13,884.24/19,154.16 = 8,292/x
  3. Step 3: Cross multiply
    13,884.24x = 19,154.16 × 8,292
  4. Step 4: Simplify right side
    13,884.24x = 158,826,294.72
  5. Step 5: Solve for x
    x = 158,826,294.72/13,884.24
  6. Step 6: Final answer
    x = 11,439.32

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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.