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Finding the Fourth Proportional to 14,188.96, 21,282.63 and 5,419.90

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Solution

The fourth proportional to 14,188.96, 21,282.63 and 5,419.90 is: 8,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.96 : 21,282.63 = 5,419.90 : x
  2. Step 2: Convert to fraction form
    14,188.96/21,282.63 = 5,419.90/x
  3. Step 3: Cross multiply
    14,188.96x = 21,282.63 × 5,419.90
  4. Step 4: Simplify right side
    14,188.96x = 115,349,726.34
  5. Step 5: Solve for x
    x = 115,349,726.34/14,188.96
  6. Step 6: Final answer
    x = 8,129.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.