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Finding the Fourth Proportional to 13,821.93, 19,073.31 and 7,773.08

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Solution

The fourth proportional to 13,821.93, 19,073.31 and 7,773.08 is: 10,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.93 : 19,073.31 = 7,773.08 : x
  2. Step 2: Convert to fraction form
    13,821.93/19,073.31 = 7,773.08/x
  3. Step 3: Cross multiply
    13,821.93x = 19,073.31 × 7,773.08
  4. Step 4: Simplify right side
    13,821.93x = 148,258,269.13
  5. Step 5: Solve for x
    x = 148,258,269.13/13,821.93
  6. Step 6: Final answer
    x = 10,726.31

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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.