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Finding the Fourth Proportional to 19,657.76, 29,447.76 and 9,257.36

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Solution

The fourth proportional to 19,657.76, 29,447.76 and 9,257.36 is: 13,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.76 : 29,447.76 = 9,257.36 : x
  2. Step 2: Convert to fraction form
    19,657.76/29,447.76 = 9,257.36/x
  3. Step 3: Cross multiply
    19,657.76x = 29,447.76 × 9,257.36
  4. Step 4: Simplify right side
    19,657.76x = 272,608,515.51
  5. Step 5: Solve for x
    x = 272,608,515.51/19,657.76
  6. Step 6: Final answer
    x = 13,867.73

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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.