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Finding the Fourth Proportional to 19,527.46, 29,292 and 5,676.46

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Solution

The fourth proportional to 19,527.46, 29,292 and 5,676.46 is: 8,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.46 : 29,292 = 5,676.46 : x
  2. Step 2: Convert to fraction form
    19,527.46/29,292 = 5,676.46/x
  3. Step 3: Cross multiply
    19,527.46x = 29,292 × 5,676.46
  4. Step 4: Simplify right side
    19,527.46x = 166,274,866.32
  5. Step 5: Solve for x
    x = 166,274,866.32/19,527.46
  6. Step 6: Final answer
    x = 8,514.93

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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.