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Finding the Fourth Proportional to 27,740.13, 41,605.07 and 9,014.63

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Solution

The fourth proportional to 27,740.13, 41,605.07 and 9,014.63 is: 13,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,740.13 : 41,605.07 = 9,014.63 : x
  2. Step 2: Convert to fraction form
    27,740.13/41,605.07 = 9,014.63/x
  3. Step 3: Cross multiply
    27,740.13x = 41,605.07 × 9,014.63
  4. Step 4: Simplify right side
    27,740.13x = 375,054,312.17
  5. Step 5: Solve for x
    x = 375,054,312.17/27,740.13
  6. Step 6: Final answer
    x = 13,520.28

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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.