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Finding the Fourth Proportional to 15,697.80, 21,673.44 and 9,738.36

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Solution

The fourth proportional to 15,697.80, 21,673.44 and 9,738.36 is: 13,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.80 : 21,673.44 = 9,738.36 : x
  2. Step 2: Convert to fraction form
    15,697.80/21,673.44 = 9,738.36/x
  3. Step 3: Cross multiply
    15,697.80x = 21,673.44 × 9,738.36
  4. Step 4: Simplify right side
    15,697.80x = 211,063,761.16
  5. Step 5: Solve for x
    x = 211,063,761.16/15,697.80
  6. Step 6: Final answer
    x = 13,445.44

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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.