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Finding the Fourth Proportional to 13,037.22, 19,566 and 6,798.87

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Solution

The fourth proportional to 13,037.22, 19,566 and 6,798.87 is: 10,203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.22 : 19,566 = 6,798.87 : x
  2. Step 2: Convert to fraction form
    13,037.22/19,566 = 6,798.87/x
  3. Step 3: Cross multiply
    13,037.22x = 19,566 × 6,798.87
  4. Step 4: Simplify right side
    13,037.22x = 133,026,690.42
  5. Step 5: Solve for x
    x = 133,026,690.42/13,037.22
  6. Step 6: Final answer
    x = 10,203.61

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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.