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Finding the Fourth Proportional to 42,853.89, 64,290.21 and 12,866.88

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Solution

The fourth proportional to 42,853.89, 64,290.21 and 12,866.88 is: 19,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,853.89 : 64,290.21 = 12,866.88 : x
  2. Step 2: Convert to fraction form
    42,853.89/64,290.21 = 12,866.88/x
  3. Step 3: Cross multiply
    42,853.89x = 64,290.21 × 12,866.88
  4. Step 4: Simplify right side
    42,853.89x = 827,214,610.08
  5. Step 5: Solve for x
    x = 827,214,610.08/42,853.89
  6. Step 6: Final answer
    x = 19,303.14

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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.