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Finding the Fourth Proportional to 27,208, 37,547.74 and 15,272.26

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Solution

The fourth proportional to 27,208, 37,547.74 and 15,272.26 is: 21,076.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,208 : 37,547.74 = 15,272.26 : x
  2. Step 2: Convert to fraction form
    27,208/37,547.74 = 15,272.26/x
  3. Step 3: Cross multiply
    27,208x = 37,547.74 × 15,272.26
  4. Step 4: Simplify right side
    27,208x = 573,438,847.69
  5. Step 5: Solve for x
    x = 573,438,847.69/27,208
  6. Step 6: Final answer
    x = 21,076.11

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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.