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Finding the Fourth Proportional to 44,006.36, 66,012.42 and 12,839

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Solution

The fourth proportional to 44,006.36, 66,012.42 and 12,839 is: 19,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,006.36 : 66,012.42 = 12,839 : x
  2. Step 2: Convert to fraction form
    44,006.36/66,012.42 = 12,839/x
  3. Step 3: Cross multiply
    44,006.36x = 66,012.42 × 12,839
  4. Step 4: Simplify right side
    44,006.36x = 847,533,460.38
  5. Step 5: Solve for x
    x = 847,533,460.38/44,006.36
  6. Step 6: Final answer
    x = 19,259.34

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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.