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Finding the Fourth Proportional to 16,564.16, 24,846.90 and 7,792.94

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Solution

The fourth proportional to 16,564.16, 24,846.90 and 7,792.94 is: 11,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.16 : 24,846.90 = 7,792.94 : x
  2. Step 2: Convert to fraction form
    16,564.16/24,846.90 = 7,792.94/x
  3. Step 3: Cross multiply
    16,564.16x = 24,846.90 × 7,792.94
  4. Step 4: Simplify right side
    16,564.16x = 193,630,400.89
  5. Step 5: Solve for x
    x = 193,630,400.89/16,564.16
  6. Step 6: Final answer
    x = 11,689.72

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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.