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Finding the Fourth Proportional to 13,823, 19,069.17 and 9,348.32

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Solution

The fourth proportional to 13,823, 19,069.17 and 9,348.32 is: 12,896.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823 : 19,069.17 = 9,348.32 : x
  2. Step 2: Convert to fraction form
    13,823/19,069.17 = 9,348.32/x
  3. Step 3: Cross multiply
    13,823x = 19,069.17 × 9,348.32
  4. Step 4: Simplify right side
    13,823x = 178,264,703.29
  5. Step 5: Solve for x
    x = 178,264,703.29/13,823
  6. Step 6: Final answer
    x = 12,896.24

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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.