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Finding the Fourth Proportional to 13,345.77, 18,417.17 and 7,377.44

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Solution

The fourth proportional to 13,345.77, 18,417.17 and 7,377.44 is: 10,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,345.77 : 18,417.17 = 7,377.44 : x
  2. Step 2: Convert to fraction form
    13,345.77/18,417.17 = 7,377.44/x
  3. Step 3: Cross multiply
    13,345.77x = 18,417.17 × 7,377.44
  4. Step 4: Simplify right side
    13,345.77x = 135,871,566.64
  5. Step 5: Solve for x
    x = 135,871,566.64/13,345.77
  6. Step 6: Final answer
    x = 10,180.87

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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.