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Finding the Fourth Proportional to 14,424.35, 21,645.63 and 5,659.07

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Solution

The fourth proportional to 14,424.35, 21,645.63 and 5,659.07 is: 8,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.35 : 21,645.63 = 5,659.07 : x
  2. Step 2: Convert to fraction form
    14,424.35/21,645.63 = 5,659.07/x
  3. Step 3: Cross multiply
    14,424.35x = 21,645.63 × 5,659.07
  4. Step 4: Simplify right side
    14,424.35x = 122,494,027.14
  5. Step 5: Solve for x
    x = 122,494,027.14/14,424.35
  6. Step 6: Final answer
    x = 8,492.17

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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.