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Finding the Fourth Proportional to 13,693.51, 20,442.99 and 13,207.51

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Solution

The fourth proportional to 13,693.51, 20,442.99 and 13,207.51 is: 19,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.51 : 20,442.99 = 13,207.51 : x
  2. Step 2: Convert to fraction form
    13,693.51/20,442.99 = 13,207.51/x
  3. Step 3: Cross multiply
    13,693.51x = 20,442.99 × 13,207.51
  4. Step 4: Simplify right side
    13,693.51x = 270,000,994.85
  5. Step 5: Solve for x
    x = 270,000,994.85/13,693.51
  6. Step 6: Final answer
    x = 19,717.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.