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Finding the Fourth Proportional to 17,612.60, 24,309.42 and 12,023

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Solution

The fourth proportional to 17,612.60, 24,309.42 and 12,023 is: 16,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612.60 : 24,309.42 = 12,023 : x
  2. Step 2: Convert to fraction form
    17,612.60/24,309.42 = 12,023/x
  3. Step 3: Cross multiply
    17,612.60x = 24,309.42 × 12,023
  4. Step 4: Simplify right side
    17,612.60x = 292,272,156.66
  5. Step 5: Solve for x
    x = 292,272,156.66/17,612.60
  6. Step 6: Final answer
    x = 16,594.49

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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.