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Finding the Fourth Proportional to 39,786, 59,666.26 and 13,126.02

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Solution

The fourth proportional to 39,786, 59,666.26 and 13,126.02 is: 19,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786 : 59,666.26 = 13,126.02 : x
  2. Step 2: Convert to fraction form
    39,786/59,666.26 = 13,126.02/x
  3. Step 3: Cross multiply
    39,786x = 59,666.26 × 13,126.02
  4. Step 4: Simplify right side
    39,786x = 783,180,522.09
  5. Step 5: Solve for x
    x = 783,180,522.09/39,786
  6. Step 6: Final answer
    x = 19,684.83

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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.