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Finding the Fourth Proportional to 17,740.49, 24,481.58 and 9,783.25

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Solution

The fourth proportional to 17,740.49, 24,481.58 and 9,783.25 is: 13,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.49 : 24,481.58 = 9,783.25 : x
  2. Step 2: Convert to fraction form
    17,740.49/24,481.58 = 9,783.25/x
  3. Step 3: Cross multiply
    17,740.49x = 24,481.58 × 9,783.25
  4. Step 4: Simplify right side
    17,740.49x = 239,509,307.41
  5. Step 5: Solve for x
    x = 239,509,307.41/17,740.49
  6. Step 6: Final answer
    x = 13,500.72

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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.