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Finding the Fourth Proportional to 27,160.90, 37,477 and 17,478.86

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Solution

The fourth proportional to 27,160.90, 37,477 and 17,478.86 is: 24,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,160.90 : 37,477 = 17,478.86 : x
  2. Step 2: Convert to fraction form
    27,160.90/37,477 = 17,478.86/x
  3. Step 3: Cross multiply
    27,160.90x = 37,477 × 17,478.86
  4. Step 4: Simplify right side
    27,160.90x = 655,055,236.22
  5. Step 5: Solve for x
    x = 655,055,236.22/27,160.90
  6. Step 6: Final answer
    x = 24,117.58

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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.