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Finding the Fourth Proportional to 19,496.16, 29,244.24 and 7,801.20

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Solution

The fourth proportional to 19,496.16, 29,244.24 and 7,801.20 is: 11,701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.16 : 29,244.24 = 7,801.20 : x
  2. Step 2: Convert to fraction form
    19,496.16/29,244.24 = 7,801.20/x
  3. Step 3: Cross multiply
    19,496.16x = 29,244.24 × 7,801.20
  4. Step 4: Simplify right side
    19,496.16x = 228,140,165.09
  5. Step 5: Solve for x
    x = 228,140,165.09/19,496.16
  6. Step 6: Final answer
    x = 11,701.80

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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.