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Finding the Fourth Proportional to 14,712.84, 20,301.44 and 8,424

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Solution

The fourth proportional to 14,712.84, 20,301.44 and 8,424 is: 11,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.84 : 20,301.44 = 8,424 : x
  2. Step 2: Convert to fraction form
    14,712.84/20,301.44 = 8,424/x
  3. Step 3: Cross multiply
    14,712.84x = 20,301.44 × 8,424
  4. Step 4: Simplify right side
    14,712.84x = 171,019,288.44
  5. Step 5: Solve for x
    x = 171,019,288.44/14,712.84
  6. Step 6: Final answer
    x = 11,623.81

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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.