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Finding the Fourth Proportional to 27,274.35, 37,637.95 and 17,842.71

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Solution

The fourth proportional to 27,274.35, 37,637.95 and 17,842.71 is: 24,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,274.35 : 37,637.95 = 17,842.71 : x
  2. Step 2: Convert to fraction form
    27,274.35/37,637.95 = 17,842.71/x
  3. Step 3: Cross multiply
    27,274.35x = 37,637.95 × 17,842.71
  4. Step 4: Simplify right side
    27,274.35x = 671,563,026.84
  5. Step 5: Solve for x
    x = 671,563,026.84/27,274.35
  6. Step 6: Final answer
    x = 24,622.51

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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.