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Finding the Fourth Proportional to 13,018.61, 19,537.94 and 6,780.20

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Solution

The fourth proportional to 13,018.61, 19,537.94 and 6,780.20 is: 10,175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.61 : 19,537.94 = 6,780.20 : x
  2. Step 2: Convert to fraction form
    13,018.61/19,537.94 = 6,780.20/x
  3. Step 3: Cross multiply
    13,018.61x = 19,537.94 × 6,780.20
  4. Step 4: Simplify right side
    13,018.61x = 132,471,009.20
  5. Step 5: Solve for x
    x = 132,471,009.20/13,018.61
  6. Step 6: Final answer
    x = 10,175.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.