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Finding the Fourth Proportional to 19,684.74, 29,532.10 and 6,537.18

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Solution

The fourth proportional to 19,684.74, 29,532.10 and 6,537.18 is: 9,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.74 : 29,532.10 = 6,537.18 : x
  2. Step 2: Convert to fraction form
    19,684.74/29,532.10 = 6,537.18/x
  3. Step 3: Cross multiply
    19,684.74x = 29,532.10 × 6,537.18
  4. Step 4: Simplify right side
    19,684.74x = 193,056,653.48
  5. Step 5: Solve for x
    x = 193,056,653.48/19,684.74
  6. Step 6: Final answer
    x = 9,807.43

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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.