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Finding the Fourth Proportional to 19,647.86, 29,476.65 and 9,257.18

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Solution

The fourth proportional to 19,647.86, 29,476.65 and 9,257.18 is: 13,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.86 : 29,476.65 = 9,257.18 : x
  2. Step 2: Convert to fraction form
    19,647.86/29,476.65 = 9,257.18/x
  3. Step 3: Cross multiply
    19,647.86x = 29,476.65 × 9,257.18
  4. Step 4: Simplify right side
    19,647.86x = 272,870,654.85
  5. Step 5: Solve for x
    x = 272,870,654.85/19,647.86
  6. Step 6: Final answer
    x = 13,888.06

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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.