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Finding the Fourth Proportional to 13,442.98, 18,549.90 and 7,776.82

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Solution

The fourth proportional to 13,442.98, 18,549.90 and 7,776.82 is: 10,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.98 : 18,549.90 = 7,776.82 : x
  2. Step 2: Convert to fraction form
    13,442.98/18,549.90 = 7,776.82/x
  3. Step 3: Cross multiply
    13,442.98x = 18,549.90 × 7,776.82
  4. Step 4: Simplify right side
    13,442.98x = 144,259,233.32
  5. Step 5: Solve for x
    x = 144,259,233.32/13,442.98
  6. Step 6: Final answer
    x = 10,731.19

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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.