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Finding the Fourth Proportional to 19,384.26, 29,092.98 and 7,705.68

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Solution

The fourth proportional to 19,384.26, 29,092.98 and 7,705.68 is: 11,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.26 : 29,092.98 = 7,705.68 : x
  2. Step 2: Convert to fraction form
    19,384.26/29,092.98 = 7,705.68/x
  3. Step 3: Cross multiply
    19,384.26x = 29,092.98 × 7,705.68
  4. Step 4: Simplify right side
    19,384.26x = 224,181,194.13
  5. Step 5: Solve for x
    x = 224,181,194.13/19,384.26
  6. Step 6: Final answer
    x = 11,565.11

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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.