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Finding the Fourth Proportional to 17,536.50, 24,183.90 and 13,070.16

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Solution

The fourth proportional to 17,536.50, 24,183.90 and 13,070.16 is: 18,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.50 : 24,183.90 = 13,070.16 : x
  2. Step 2: Convert to fraction form
    17,536.50/24,183.90 = 13,070.16/x
  3. Step 3: Cross multiply
    17,536.50x = 24,183.90 × 13,070.16
  4. Step 4: Simplify right side
    17,536.50x = 316,087,442.42
  5. Step 5: Solve for x
    x = 316,087,442.42/17,536.50
  6. Step 6: Final answer
    x = 18,024.55

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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.