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Finding the Fourth Proportional to 22,714.57, 31,328.32 and 14,759.38

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Solution

The fourth proportional to 22,714.57, 31,328.32 and 14,759.38 is: 20,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.57 : 31,328.32 = 14,759.38 : x
  2. Step 2: Convert to fraction form
    22,714.57/31,328.32 = 14,759.38/x
  3. Step 3: Cross multiply
    22,714.57x = 31,328.32 × 14,759.38
  4. Step 4: Simplify right side
    22,714.57x = 462,386,579.64
  5. Step 5: Solve for x
    x = 462,386,579.64/22,714.57
  6. Step 6: Final answer
    x = 20,356.39

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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.