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Finding the Fourth Proportional to 27,507.60, 37,874.16 and 24,274.08

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Solution

The fourth proportional to 27,507.60, 37,874.16 and 24,274.08 is: 33,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.60 : 37,874.16 = 24,274.08 : x
  2. Step 2: Convert to fraction form
    27,507.60/37,874.16 = 24,274.08/x
  3. Step 3: Cross multiply
    27,507.60x = 37,874.16 × 24,274.08
  4. Step 4: Simplify right side
    27,507.60x = 919,360,389.77
  5. Step 5: Solve for x
    x = 919,360,389.77/27,507.60
  6. Step 6: Final answer
    x = 33,422.05

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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.