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Finding the Fourth Proportional to 12,566.25, 17,360.06 and 8,269.47

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Solution

The fourth proportional to 12,566.25, 17,360.06 and 8,269.47 is: 11,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.25 : 17,360.06 = 8,269.47 : x
  2. Step 2: Convert to fraction form
    12,566.25/17,360.06 = 8,269.47/x
  3. Step 3: Cross multiply
    12,566.25x = 17,360.06 × 8,269.47
  4. Step 4: Simplify right side
    12,566.25x = 143,558,454.02
  5. Step 5: Solve for x
    x = 143,558,454.02/12,566.25
  6. Step 6: Final answer
    x = 11,424.13

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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.