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Finding the Fourth Proportional to 16,322, 24,484.74 and 5,224.72

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Solution

The fourth proportional to 16,322, 24,484.74 and 5,224.72 is: 7,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322 : 24,484.74 = 5,224.72 : x
  2. Step 2: Convert to fraction form
    16,322/24,484.74 = 5,224.72/x
  3. Step 3: Cross multiply
    16,322x = 24,484.74 × 5,224.72
  4. Step 4: Simplify right side
    16,322x = 127,925,910.77
  5. Step 5: Solve for x
    x = 127,925,910.77/16,322
  6. Step 6: Final answer
    x = 7,837.64

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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.