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Finding the Fourth Proportional to 17,666.64, 24,401.34 and 12,879

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Solution

The fourth proportional to 17,666.64, 24,401.34 and 12,879 is: 17,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.64 : 24,401.34 = 12,879 : x
  2. Step 2: Convert to fraction form
    17,666.64/24,401.34 = 12,879/x
  3. Step 3: Cross multiply
    17,666.64x = 24,401.34 × 12,879
  4. Step 4: Simplify right side
    17,666.64x = 314,264,857.86
  5. Step 5: Solve for x
    x = 314,264,857.86/17,666.64
  6. Step 6: Final answer
    x = 17,788.60

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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.