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Finding the Fourth Proportional to 13,433.98, 18,537.48 and 7,767.82

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Solution

The fourth proportional to 13,433.98, 18,537.48 and 7,767.82 is: 10,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.98 : 18,537.48 = 7,767.82 : x
  2. Step 2: Convert to fraction form
    13,433.98/18,537.48 = 7,767.82/x
  3. Step 3: Cross multiply
    13,433.98x = 18,537.48 × 7,767.82
  4. Step 4: Simplify right side
    13,433.98x = 143,995,807.89
  5. Step 5: Solve for x
    x = 143,995,807.89/13,433.98
  6. Step 6: Final answer
    x = 10,718.77

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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.