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Finding the Fourth Proportional to 14,319.12, 19,761.04 and 8,349.84

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Solution

The fourth proportional to 14,319.12, 19,761.04 and 8,349.84 is: 11,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.12 : 19,761.04 = 8,349.84 : x
  2. Step 2: Convert to fraction form
    14,319.12/19,761.04 = 8,349.84/x
  3. Step 3: Cross multiply
    14,319.12x = 19,761.04 × 8,349.84
  4. Step 4: Simplify right side
    14,319.12x = 165,001,522.23
  5. Step 5: Solve for x
    x = 165,001,522.23/14,319.12
  6. Step 6: Final answer
    x = 11,523.16

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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.