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Finding the Fourth Proportional to 16,528, 24,792 and 4,216

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Solution

The fourth proportional to 16,528, 24,792 and 4,216 is: 6,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528 : 24,792 = 4,216 : x
  2. Step 2: Convert to fraction form
    16,528/24,792 = 4,216/x
  3. Step 3: Cross multiply
    16,528x = 24,792 × 4,216
  4. Step 4: Simplify right side
    16,528x = 104,523,072
  5. Step 5: Solve for x
    x = 104,523,072/16,528
  6. Step 6: Final answer
    x = 6,324

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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.