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Finding the Fourth Proportional to 16,523.12, 24,784.84 and 4,211.12

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Solution

The fourth proportional to 16,523.12, 24,784.84 and 4,211.12 is: 6,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.12 : 24,784.84 = 4,211.12 : x
  2. Step 2: Convert to fraction form
    16,523.12/24,784.84 = 4,211.12/x
  3. Step 3: Cross multiply
    16,523.12x = 24,784.84 × 4,211.12
  4. Step 4: Simplify right side
    16,523.12x = 104,371,935.42
  5. Step 5: Solve for x
    x = 104,371,935.42/16,523.12
  6. Step 6: Final answer
    x = 6,316.72

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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.