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Finding the Fourth Proportional to 27,509.60, 37,876.92 and 24,276.08

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Solution

The fourth proportional to 27,509.60, 37,876.92 and 24,276.08 is: 33,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.60 : 37,876.92 = 24,276.08 : x
  2. Step 2: Convert to fraction form
    27,509.60/37,876.92 = 24,276.08/x
  3. Step 3: Cross multiply
    27,509.60x = 37,876.92 × 24,276.08
  4. Step 4: Simplify right side
    27,509.60x = 919,503,140.07
  5. Step 5: Solve for x
    x = 919,503,140.07/27,509.60
  6. Step 6: Final answer
    x = 33,424.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.