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Finding the Fourth Proportional to 17,741.65, 24,482.20 and 9,783.70

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Solution

The fourth proportional to 17,741.65, 24,482.20 and 9,783.70 is: 13,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.65 : 24,482.20 = 9,783.70 : x
  2. Step 2: Convert to fraction form
    17,741.65/24,482.20 = 9,783.70/x
  3. Step 3: Cross multiply
    17,741.65x = 24,482.20 × 9,783.70
  4. Step 4: Simplify right side
    17,741.65x = 239,526,500.14
  5. Step 5: Solve for x
    x = 239,526,500.14/17,741.65
  6. Step 6: Final answer
    x = 13,500.80

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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.