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Finding the Fourth Proportional to 30,138.60, 41,593.74 and 16,714.08

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Solution

The fourth proportional to 30,138.60, 41,593.74 and 16,714.08 is: 23,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.60 : 41,593.74 = 16,714.08 : x
  2. Step 2: Convert to fraction form
    30,138.60/41,593.74 = 16,714.08/x
  3. Step 3: Cross multiply
    30,138.60x = 41,593.74 × 16,714.08
  4. Step 4: Simplify right side
    30,138.60x = 695,201,097.86
  5. Step 5: Solve for x
    x = 695,201,097.86/30,138.60
  6. Step 6: Final answer
    x = 23,066.80

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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.