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Finding the Fourth Proportional to 27,133.98, 37,445.27 and 15,197.24

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Solution

The fourth proportional to 27,133.98, 37,445.27 and 15,197.24 is: 20,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,133.98 : 37,445.27 = 15,197.24 : x
  2. Step 2: Convert to fraction form
    27,133.98/37,445.27 = 15,197.24/x
  3. Step 3: Cross multiply
    27,133.98x = 37,445.27 × 15,197.24
  4. Step 4: Simplify right side
    27,133.98x = 569,064,491.84
  5. Step 5: Solve for x
    x = 569,064,491.84/27,133.98
  6. Step 6: Final answer
    x = 20,972.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.