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Finding the Fourth Proportional to 27,502.62, 37,953.64 and 14,927.38

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Solution

The fourth proportional to 27,502.62, 37,953.64 and 14,927.38 is: 20,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,502.62 : 37,953.64 = 14,927.38 : x
  2. Step 2: Convert to fraction form
    27,502.62/37,953.64 = 14,927.38/x
  3. Step 3: Cross multiply
    27,502.62x = 37,953.64 × 14,927.38
  4. Step 4: Simplify right side
    27,502.62x = 566,548,406.66
  5. Step 5: Solve for x
    x = 566,548,406.66/27,502.62
  6. Step 6: Final answer
    x = 20,599.80

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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.