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Finding the Fourth Proportional to 27,184.60, 40,758.54 and 9,410.68

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Solution

The fourth proportional to 27,184.60, 40,758.54 and 9,410.68 is: 14,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184.60 : 40,758.54 = 9,410.68 : x
  2. Step 2: Convert to fraction form
    27,184.60/40,758.54 = 9,410.68/x
  3. Step 3: Cross multiply
    27,184.60x = 40,758.54 × 9,410.68
  4. Step 4: Simplify right side
    27,184.60x = 383,565,577.21
  5. Step 5: Solve for x
    x = 383,565,577.21/27,184.60
  6. Step 6: Final answer
    x = 14,109.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.