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Finding the Fourth Proportional to 17,590.16, 24,274.45 and 9,523.90

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Solution

The fourth proportional to 17,590.16, 24,274.45 and 9,523.90 is: 13,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,590.16 : 24,274.45 = 9,523.90 : x
  2. Step 2: Convert to fraction form
    17,590.16/24,274.45 = 9,523.90/x
  3. Step 3: Cross multiply
    17,590.16x = 24,274.45 × 9,523.90
  4. Step 4: Simplify right side
    17,590.16x = 231,187,312.98
  5. Step 5: Solve for x
    x = 231,187,312.98/17,590.16
  6. Step 6: Final answer
    x = 13,142.99

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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.