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Finding the Fourth Proportional to 19,661.69, 29,497.14 and 5,621.90

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Solution

The fourth proportional to 19,661.69, 29,497.14 and 5,621.90 is: 8,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,661.69 : 29,497.14 = 5,621.90 : x
  2. Step 2: Convert to fraction form
    19,661.69/29,497.14 = 5,621.90/x
  3. Step 3: Cross multiply
    19,661.69x = 29,497.14 × 5,621.90
  4. Step 4: Simplify right side
    19,661.69x = 165,829,823.88
  5. Step 5: Solve for x
    x = 165,829,823.88/19,661.69
  6. Step 6: Final answer
    x = 8,434.16

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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.