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Finding the Fourth Proportional to 27,378.63, 37,782.43 and 14,803.38

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Solution

The fourth proportional to 27,378.63, 37,782.43 and 14,803.38 is: 20,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.63 : 37,782.43 = 14,803.38 : x
  2. Step 2: Convert to fraction form
    27,378.63/37,782.43 = 14,803.38/x
  3. Step 3: Cross multiply
    27,378.63x = 37,782.43 × 14,803.38
  4. Step 4: Simplify right side
    27,378.63x = 559,307,668.61
  5. Step 5: Solve for x
    x = 559,307,668.61/27,378.63
  6. Step 6: Final answer
    x = 20,428.62

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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.