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Finding the Fourth Proportional to 23,784.84, 35,649.72 and 13,252.41

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Solution

The fourth proportional to 23,784.84, 35,649.72 and 13,252.41 is: 19,863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.84 : 35,649.72 = 13,252.41 : x
  2. Step 2: Convert to fraction form
    23,784.84/35,649.72 = 13,252.41/x
  3. Step 3: Cross multiply
    23,784.84x = 35,649.72 × 13,252.41
  4. Step 4: Simplify right side
    23,784.84x = 472,444,705.83
  5. Step 5: Solve for x
    x = 472,444,705.83/23,784.84
  6. Step 6: Final answer
    x = 19,863.27

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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.