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Finding the Fourth Proportional to 17,780.65, 24,537.30 and 9,714.42

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Solution

The fourth proportional to 17,780.65, 24,537.30 and 9,714.42 is: 13,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.65 : 24,537.30 = 9,714.42 : x
  2. Step 2: Convert to fraction form
    17,780.65/24,537.30 = 9,714.42/x
  3. Step 3: Cross multiply
    17,780.65x = 24,537.30 × 9,714.42
  4. Step 4: Simplify right side
    17,780.65x = 238,365,637.87
  5. Step 5: Solve for x
    x = 238,365,637.87/17,780.65
  6. Step 6: Final answer
    x = 13,405.90

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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.