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Finding the Fourth Proportional to 20,434, 30,592.51 and 13,848.47

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Solution

The fourth proportional to 20,434, 30,592.51 and 13,848.47 is: 20,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434 : 30,592.51 = 13,848.47 : x
  2. Step 2: Convert to fraction form
    20,434/30,592.51 = 13,848.47/x
  3. Step 3: Cross multiply
    20,434x = 30,592.51 × 13,848.47
  4. Step 4: Simplify right side
    20,434x = 423,659,456.96
  5. Step 5: Solve for x
    x = 423,659,456.96/20,434
  6. Step 6: Final answer
    x = 20,733.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.