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Finding the Fourth Proportional to 14,287.88, 19,712.71 and 9,255.95

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Solution

The fourth proportional to 14,287.88, 19,712.71 and 9,255.95 is: 12,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.88 : 19,712.71 = 9,255.95 : x
  2. Step 2: Convert to fraction form
    14,287.88/19,712.71 = 9,255.95/x
  3. Step 3: Cross multiply
    14,287.88x = 19,712.71 × 9,255.95
  4. Step 4: Simplify right side
    14,287.88x = 182,459,918.98
  5. Step 5: Solve for x
    x = 182,459,918.98/14,287.88
  6. Step 6: Final answer
    x = 12,770.26

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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.