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Finding the Fourth Proportional to 16,574.72, 24,861.92 and 7,804.84

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Solution

The fourth proportional to 16,574.72, 24,861.92 and 7,804.84 is: 11,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.72 : 24,861.92 = 7,804.84 : x
  2. Step 2: Convert to fraction form
    16,574.72/24,861.92 = 7,804.84/x
  3. Step 3: Cross multiply
    16,574.72x = 24,861.92 × 7,804.84
  4. Step 4: Simplify right side
    16,574.72x = 194,043,307.69
  5. Step 5: Solve for x
    x = 194,043,307.69/16,574.72
  6. Step 6: Final answer
    x = 11,707.18

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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.