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Finding the Fourth Proportional to 27,460.56, 37,894.71 and 16,129.86

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Solution

The fourth proportional to 27,460.56, 37,894.71 and 16,129.86 is: 22,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.56 : 37,894.71 = 16,129.86 : x
  2. Step 2: Convert to fraction form
    27,460.56/37,894.71 = 16,129.86/x
  3. Step 3: Cross multiply
    27,460.56x = 37,894.71 × 16,129.86
  4. Step 4: Simplify right side
    27,460.56x = 611,236,367.04
  5. Step 5: Solve for x
    x = 611,236,367.04/27,460.56
  6. Step 6: Final answer
    x = 22,258.70

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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.