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Finding the Fourth Proportional to 16,054.48, 24,081.72 and 6,814

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Solution

The fourth proportional to 16,054.48, 24,081.72 and 6,814 is: 10,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.48 : 24,081.72 = 6,814 : x
  2. Step 2: Convert to fraction form
    16,054.48/24,081.72 = 6,814/x
  3. Step 3: Cross multiply
    16,054.48x = 24,081.72 × 6,814
  4. Step 4: Simplify right side
    16,054.48x = 164,092,840.08
  5. Step 5: Solve for x
    x = 164,092,840.08/16,054.48
  6. Step 6: Final answer
    x = 10,221.00

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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.