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Finding the Fourth Proportional to 27,002.36, 40,503.48 and 9,477.20

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Solution

The fourth proportional to 27,002.36, 40,503.48 and 9,477.20 is: 14,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.36 : 40,503.48 = 9,477.20 : x
  2. Step 2: Convert to fraction form
    27,002.36/40,503.48 = 9,477.20/x
  3. Step 3: Cross multiply
    27,002.36x = 40,503.48 × 9,477.20
  4. Step 4: Simplify right side
    27,002.36x = 383,859,580.66
  5. Step 5: Solve for x
    x = 383,859,580.66/27,002.36
  6. Step 6: Final answer
    x = 14,215.78

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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.