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Finding the Fourth Proportional to 27,039.58, 40,577.45 and 9,509.34

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Solution

The fourth proportional to 27,039.58, 40,577.45 and 9,509.34 is: 14,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,039.58 : 40,577.45 = 9,509.34 : x
  2. Step 2: Convert to fraction form
    27,039.58/40,577.45 = 9,509.34/x
  3. Step 3: Cross multiply
    27,039.58x = 40,577.45 × 9,509.34
  4. Step 4: Simplify right side
    27,039.58x = 385,864,768.38
  5. Step 5: Solve for x
    x = 385,864,768.38/27,039.58
  6. Step 6: Final answer
    x = 14,270.37

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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.