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Finding the Fourth Proportional to 12,511.98, 17,264.66 and 7,205.87

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Solution

The fourth proportional to 12,511.98, 17,264.66 and 7,205.87 is: 9,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.98 : 17,264.66 = 7,205.87 : x
  2. Step 2: Convert to fraction form
    12,511.98/17,264.66 = 7,205.87/x
  3. Step 3: Cross multiply
    12,511.98x = 17,264.66 × 7,205.87
  4. Step 4: Simplify right side
    12,511.98x = 124,406,773.20
  5. Step 5: Solve for x
    x = 124,406,773.20/12,511.98
  6. Step 6: Final answer
    x = 9,943.01

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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.