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Finding the Fourth Proportional to 17,780.93, 24,537.70 and 9,823.21

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Solution

The fourth proportional to 17,780.93, 24,537.70 and 9,823.21 is: 13,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.93 : 24,537.70 = 9,823.21 : x
  2. Step 2: Convert to fraction form
    17,780.93/24,537.70 = 9,823.21/x
  3. Step 3: Cross multiply
    17,780.93x = 24,537.70 × 9,823.21
  4. Step 4: Simplify right side
    17,780.93x = 241,038,980.02
  5. Step 5: Solve for x
    x = 241,038,980.02/17,780.93
  6. Step 6: Final answer
    x = 13,556.04

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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.