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Finding the Fourth Proportional to 27,346.16, 37,735.76 and 16,166

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Solution

The fourth proportional to 27,346.16, 37,735.76 and 16,166 is: 22,307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.16 : 37,735.76 = 16,166 : x
  2. Step 2: Convert to fraction form
    27,346.16/37,735.76 = 16,166/x
  3. Step 3: Cross multiply
    27,346.16x = 37,735.76 × 16,166
  4. Step 4: Simplify right side
    27,346.16x = 610,036,296.16
  5. Step 5: Solve for x
    x = 610,036,296.16/27,346.16
  6. Step 6: Final answer
    x = 22,307.93

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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.