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Finding the Fourth Proportional to 24,026.34, 33,156 and 13,416.12

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Solution

The fourth proportional to 24,026.34, 33,156 and 13,416.12 is: 18,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,026.34 : 33,156 = 13,416.12 : x
  2. Step 2: Convert to fraction form
    24,026.34/33,156 = 13,416.12/x
  3. Step 3: Cross multiply
    24,026.34x = 33,156 × 13,416.12
  4. Step 4: Simplify right side
    24,026.34x = 444,824,874.72
  5. Step 5: Solve for x
    x = 444,824,874.72/24,026.34
  6. Step 6: Final answer
    x = 18,514.05

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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.