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Finding the Fourth Proportional to 28,816.16, 39,763.92 and 16,244

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Solution

The fourth proportional to 28,816.16, 39,763.92 and 16,244 is: 22,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,816.16 : 39,763.92 = 16,244 : x
  2. Step 2: Convert to fraction form
    28,816.16/39,763.92 = 16,244/x
  3. Step 3: Cross multiply
    28,816.16x = 39,763.92 × 16,244
  4. Step 4: Simplify right side
    28,816.16x = 645,925,116.48
  5. Step 5: Solve for x
    x = 645,925,116.48/28,816.16
  6. Step 6: Final answer
    x = 22,415.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.