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Finding the Fourth Proportional to 17,780.68, 24,537.12 and 9,822.34

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Solution

The fourth proportional to 17,780.68, 24,537.12 and 9,822.34 is: 13,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.68 : 24,537.12 = 9,822.34 : x
  2. Step 2: Convert to fraction form
    17,780.68/24,537.12 = 9,822.34/x
  3. Step 3: Cross multiply
    17,780.68x = 24,537.12 × 9,822.34
  4. Step 4: Simplify right side
    17,780.68x = 241,011,935.26
  5. Step 5: Solve for x
    x = 241,011,935.26/17,780.68
  6. Step 6: Final answer
    x = 13,554.71

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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.