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Finding the Fourth Proportional to 15,714.29, 23,574.92 and 5,187.57

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Solution

The fourth proportional to 15,714.29, 23,574.92 and 5,187.57 is: 7,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.29 : 23,574.92 = 5,187.57 : x
  2. Step 2: Convert to fraction form
    15,714.29/23,574.92 = 5,187.57/x
  3. Step 3: Cross multiply
    15,714.29x = 23,574.92 × 5,187.57
  4. Step 4: Simplify right side
    15,714.29x = 122,296,433.40
  5. Step 5: Solve for x
    x = 122,296,433.40/15,714.29
  6. Step 6: Final answer
    x = 7,782.50

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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.