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Finding the Fourth Proportional to 17,780.22, 24,536.67 and 9,822.42

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Solution

The fourth proportional to 17,780.22, 24,536.67 and 9,822.42 is: 13,554.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.22 : 24,536.67 = 9,822.42 : x
  2. Step 2: Convert to fraction form
    17,780.22/24,536.67 = 9,822.42/x
  3. Step 3: Cross multiply
    17,780.22x = 24,536.67 × 9,822.42
  4. Step 4: Simplify right side
    17,780.22x = 241,009,478.14
  5. Step 5: Solve for x
    x = 241,009,478.14/17,780.22
  6. Step 6: Final answer
    x = 13,554.92

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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.