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Finding the Fourth Proportional to 17,826.70, 26,714.40 and 10,019.02

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Solution

The fourth proportional to 17,826.70, 26,714.40 and 10,019.02 is: 15,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.70 : 26,714.40 = 10,019.02 : x
  2. Step 2: Convert to fraction form
    17,826.70/26,714.40 = 10,019.02/x
  3. Step 3: Cross multiply
    17,826.70x = 26,714.40 × 10,019.02
  4. Step 4: Simplify right side
    17,826.70x = 267,652,107.89
  5. Step 5: Solve for x
    x = 267,652,107.89/17,826.70
  6. Step 6: Final answer
    x = 15,014.11

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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.