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Finding the Fourth Proportional to 28,767.57, 39,699.18 and 16,828.57

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Solution

The fourth proportional to 28,767.57, 39,699.18 and 16,828.57 is: 23,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,767.57 : 39,699.18 = 16,828.57 : x
  2. Step 2: Convert to fraction form
    28,767.57/39,699.18 = 16,828.57/x
  3. Step 3: Cross multiply
    28,767.57x = 39,699.18 × 16,828.57
  4. Step 4: Simplify right side
    28,767.57x = 668,080,479.20
  5. Step 5: Solve for x
    x = 668,080,479.20/28,767.57
  6. Step 6: Final answer
    x = 23,223.39

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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.