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Finding the Fourth Proportional to 16,526, 24,792.92 and 5,582

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Solution

The fourth proportional to 16,526, 24,792.92 and 5,582 is: 8,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526 : 24,792.92 = 5,582 : x
  2. Step 2: Convert to fraction form
    16,526/24,792.92 = 5,582/x
  3. Step 3: Cross multiply
    16,526x = 24,792.92 × 5,582
  4. Step 4: Simplify right side
    16,526x = 138,394,079.44
  5. Step 5: Solve for x
    x = 138,394,079.44/16,526
  6. Step 6: Final answer
    x = 8,374.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.