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Finding the Fourth Proportional to 17,836.20, 24,613.47 and 9,878.22

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Solution

The fourth proportional to 17,836.20, 24,613.47 and 9,878.22 is: 13,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836.20 : 24,613.47 = 9,878.22 : x
  2. Step 2: Convert to fraction form
    17,836.20/24,613.47 = 9,878.22/x
  3. Step 3: Cross multiply
    17,836.20x = 24,613.47 × 9,878.22
  4. Step 4: Simplify right side
    17,836.20x = 243,137,271.62
  5. Step 5: Solve for x
    x = 243,137,271.62/17,836.20
  6. Step 6: Final answer
    x = 13,631.67

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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.