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Finding the Fourth Proportional to 16,220.84, 24,328 and 4,534.16

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Solution

The fourth proportional to 16,220.84, 24,328 and 4,534.16 is: 6,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.84 : 24,328 = 4,534.16 : x
  2. Step 2: Convert to fraction form
    16,220.84/24,328 = 4,534.16/x
  3. Step 3: Cross multiply
    16,220.84x = 24,328 × 4,534.16
  4. Step 4: Simplify right side
    16,220.84x = 110,307,044.48
  5. Step 5: Solve for x
    x = 110,307,044.48/16,220.84
  6. Step 6: Final answer
    x = 6,800.33

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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.