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Finding the Fourth Proportional to 27,412.34, 37,829.95 and 16,799.93

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Solution

The fourth proportional to 27,412.34, 37,829.95 and 16,799.93 is: 23,184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.34 : 37,829.95 = 16,799.93 : x
  2. Step 2: Convert to fraction form
    27,412.34/37,829.95 = 16,799.93/x
  3. Step 3: Cross multiply
    27,412.34x = 37,829.95 × 16,799.93
  4. Step 4: Simplify right side
    27,412.34x = 635,540,511.90
  5. Step 5: Solve for x
    x = 635,540,511.90/27,412.34
  6. Step 6: Final answer
    x = 23,184.47

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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.