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Finding the Fourth Proportional to 14,094.75, 19,442.21 and 9,314.74

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Solution

The fourth proportional to 14,094.75, 19,442.21 and 9,314.74 is: 12,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.75 : 19,442.21 = 9,314.74 : x
  2. Step 2: Convert to fraction form
    14,094.75/19,442.21 = 9,314.74/x
  3. Step 3: Cross multiply
    14,094.75x = 19,442.21 × 9,314.74
  4. Step 4: Simplify right side
    14,094.75x = 181,099,010.68
  5. Step 5: Solve for x
    x = 181,099,010.68/14,094.75
  6. Step 6: Final answer
    x = 12,848.69

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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.