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Finding the Fourth Proportional to 27,090.32, 40,652.80 and 11,507.94

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Solution

The fourth proportional to 27,090.32, 40,652.80 and 11,507.94 is: 17,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,090.32 : 40,652.80 = 11,507.94 : x
  2. Step 2: Convert to fraction form
    27,090.32/40,652.80 = 11,507.94/x
  3. Step 3: Cross multiply
    27,090.32x = 40,652.80 × 11,507.94
  4. Step 4: Simplify right side
    27,090.32x = 467,829,983.23
  5. Step 5: Solve for x
    x = 467,829,983.23/27,090.32
  6. Step 6: Final answer
    x = 17,269.27

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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.