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Finding the Fourth Proportional to 19,706.17, 29,563.71 and 6,559.06

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Solution

The fourth proportional to 19,706.17, 29,563.71 and 6,559.06 is: 9,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.17 : 29,563.71 = 6,559.06 : x
  2. Step 2: Convert to fraction form
    19,706.17/29,563.71 = 6,559.06/x
  3. Step 3: Cross multiply
    19,706.17x = 29,563.71 × 6,559.06
  4. Step 4: Simplify right side
    19,706.17x = 193,910,147.71
  5. Step 5: Solve for x
    x = 193,910,147.71/19,706.17
  6. Step 6: Final answer
    x = 9,840.07

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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.