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Finding the Fourth Proportional to 19,496.08, 26,892.20 and 12,782.14

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Solution

The fourth proportional to 19,496.08, 26,892.20 and 12,782.14 is: 17,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.08 : 26,892.20 = 12,782.14 : x
  2. Step 2: Convert to fraction form
    19,496.08/26,892.20 = 12,782.14/x
  3. Step 3: Cross multiply
    19,496.08x = 26,892.20 × 12,782.14
  4. Step 4: Simplify right side
    19,496.08x = 343,739,905.67
  5. Step 5: Solve for x
    x = 343,739,905.67/19,496.08
  6. Step 6: Final answer
    x = 17,631.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.