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Finding the Fourth Proportional to 19,648.36, 29,477.40 and 9,257.68

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Solution

The fourth proportional to 19,648.36, 29,477.40 and 9,257.68 is: 13,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.36 : 29,477.40 = 9,257.68 : x
  2. Step 2: Convert to fraction form
    19,648.36/29,477.40 = 9,257.68/x
  3. Step 3: Cross multiply
    19,648.36x = 29,477.40 × 9,257.68
  4. Step 4: Simplify right side
    19,648.36x = 272,892,336.43
  5. Step 5: Solve for x
    x = 272,892,336.43/19,648.36
  6. Step 6: Final answer
    x = 13,888.81

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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.