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Finding the Fourth Proportional to 42,589.82, 63,884.74 and 13,006.06

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Solution

The fourth proportional to 42,589.82, 63,884.74 and 13,006.06 is: 19,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,589.82 : 63,884.74 = 13,006.06 : x
  2. Step 2: Convert to fraction form
    42,589.82/63,884.74 = 13,006.06/x
  3. Step 3: Cross multiply
    42,589.82x = 63,884.74 × 13,006.06
  4. Step 4: Simplify right side
    42,589.82x = 830,888,761.52
  5. Step 5: Solve for x
    x = 830,888,761.52/42,589.82
  6. Step 6: Final answer
    x = 19,509.09

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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.