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Finding the Fourth Proportional to 16,054.44, 24,071.40 and 7,717.87

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Solution

The fourth proportional to 16,054.44, 24,071.40 and 7,717.87 is: 11,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.44 : 24,071.40 = 7,717.87 : x
  2. Step 2: Convert to fraction form
    16,054.44/24,071.40 = 7,717.87/x
  3. Step 3: Cross multiply
    16,054.44x = 24,071.40 × 7,717.87
  4. Step 4: Simplify right side
    16,054.44x = 185,779,895.03
  5. Step 5: Solve for x
    x = 185,779,895.03/16,054.44
  6. Step 6: Final answer
    x = 11,571.87

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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.