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Finding the Fourth Proportional to 27,004.86, 40,494.06 and 9,472.14

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Solution

The fourth proportional to 27,004.86, 40,494.06 and 9,472.14 is: 14,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.86 : 40,494.06 = 9,472.14 : x
  2. Step 2: Convert to fraction form
    27,004.86/40,494.06 = 9,472.14/x
  3. Step 3: Cross multiply
    27,004.86x = 40,494.06 × 9,472.14
  4. Step 4: Simplify right side
    27,004.86x = 383,565,405.49
  5. Step 5: Solve for x
    x = 383,565,405.49/27,004.86
  6. Step 6: Final answer
    x = 14,203.57

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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.