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Finding the Fourth Proportional to 27,115, 37,416.64 and 16,503.46

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Solution

The fourth proportional to 27,115, 37,416.64 and 16,503.46 is: 22,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,115 : 37,416.64 = 16,503.46 : x
  2. Step 2: Convert to fraction form
    27,115/37,416.64 = 16,503.46/x
  3. Step 3: Cross multiply
    27,115x = 37,416.64 × 16,503.46
  4. Step 4: Simplify right side
    27,115x = 617,504,021.57
  5. Step 5: Solve for x
    x = 617,504,021.57/27,115
  6. Step 6: Final answer
    x = 22,773.52

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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.