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Finding the Fourth Proportional to 27,407.76, 37,823.40 and 16,803.24

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Solution

The fourth proportional to 27,407.76, 37,823.40 and 16,803.24 is: 23,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.76 : 37,823.40 = 16,803.24 : x
  2. Step 2: Convert to fraction form
    27,407.76/37,823.40 = 16,803.24/x
  3. Step 3: Cross multiply
    27,407.76x = 37,823.40 × 16,803.24
  4. Step 4: Simplify right side
    27,407.76x = 635,555,667.82
  5. Step 5: Solve for x
    x = 635,555,667.82/27,407.76
  6. Step 6: Final answer
    x = 23,188.89

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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.