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Finding the Fourth Proportional to 42,853.26, 64,282.90 and 13,267.20

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Solution

The fourth proportional to 42,853.26, 64,282.90 and 13,267.20 is: 19,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,853.26 : 64,282.90 = 13,267.20 : x
  2. Step 2: Convert to fraction form
    42,853.26/64,282.90 = 13,267.20/x
  3. Step 3: Cross multiply
    42,853.26x = 64,282.90 × 13,267.20
  4. Step 4: Simplify right side
    42,853.26x = 852,854,090.88
  5. Step 5: Solve for x
    x = 852,854,090.88/42,853.26
  6. Step 6: Final answer
    x = 19,901.73

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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.