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Finding the Fourth Proportional to 27,111.84, 37,416 and 15,175.92

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Solution

The fourth proportional to 27,111.84, 37,416 and 15,175.92 is: 20,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,111.84 : 37,416 = 15,175.92 : x
  2. Step 2: Convert to fraction form
    27,111.84/37,416 = 15,175.92/x
  3. Step 3: Cross multiply
    27,111.84x = 37,416 × 15,175.92
  4. Step 4: Simplify right side
    27,111.84x = 567,822,222.72
  5. Step 5: Solve for x
    x = 567,822,222.72/27,111.84
  6. Step 6: Final answer
    x = 20,943.70

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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.