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Finding the Fourth Proportional to 12,388.59, 17,084.84 and 8,415.63

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Solution

The fourth proportional to 12,388.59, 17,084.84 and 8,415.63 is: 11,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.59 : 17,084.84 = 8,415.63 : x
  2. Step 2: Convert to fraction form
    12,388.59/17,084.84 = 8,415.63/x
  3. Step 3: Cross multiply
    12,388.59x = 17,084.84 × 8,415.63
  4. Step 4: Simplify right side
    12,388.59x = 143,779,649.97
  5. Step 5: Solve for x
    x = 143,779,649.97/12,388.59
  6. Step 6: Final answer
    x = 11,605.81

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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.