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Finding the Fourth Proportional to 14,422.34, 19,891.63 and 9,115.22

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Solution

The fourth proportional to 14,422.34, 19,891.63 and 9,115.22 is: 12,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.34 : 19,891.63 = 9,115.22 : x
  2. Step 2: Convert to fraction form
    14,422.34/19,891.63 = 9,115.22/x
  3. Step 3: Cross multiply
    14,422.34x = 19,891.63 × 9,115.22
  4. Step 4: Simplify right side
    14,422.34x = 181,316,583.61
  5. Step 5: Solve for x
    x = 181,316,583.61/14,422.34
  6. Step 6: Final answer
    x = 12,571.93

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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.