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Finding the Fourth Proportional to 27,214.88, 37,543.77 and 19,261.49

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Solution

The fourth proportional to 27,214.88, 37,543.77 and 19,261.49 is: 26,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.88 : 37,543.77 = 19,261.49 : x
  2. Step 2: Convert to fraction form
    27,214.88/37,543.77 = 19,261.49/x
  3. Step 3: Cross multiply
    27,214.88x = 37,543.77 × 19,261.49
  4. Step 4: Simplify right side
    27,214.88x = 723,148,762.70
  5. Step 5: Solve for x
    x = 723,148,762.70/27,214.88
  6. Step 6: Final answer
    x = 26,571.82

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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.