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Finding the Fourth Proportional to 17,783.12, 24,543.88 and 10,613.54

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Solution

The fourth proportional to 17,783.12, 24,543.88 and 10,613.54 is: 14,648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.12 : 24,543.88 = 10,613.54 : x
  2. Step 2: Convert to fraction form
    17,783.12/24,543.88 = 10,613.54/x
  3. Step 3: Cross multiply
    17,783.12x = 24,543.88 × 10,613.54
  4. Step 4: Simplify right side
    17,783.12x = 260,497,452.14
  5. Step 5: Solve for x
    x = 260,497,452.14/17,783.12
  6. Step 6: Final answer
    x = 14,648.58

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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.