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Finding the Fourth Proportional to 27,378.25, 37,782 and 14,803

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Solution

The fourth proportional to 27,378.25, 37,782 and 14,803 is: 20,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.25 : 37,782 = 14,803 : x
  2. Step 2: Convert to fraction form
    27,378.25/37,782 = 14,803/x
  3. Step 3: Cross multiply
    27,378.25x = 37,782 × 14,803
  4. Step 4: Simplify right side
    27,378.25x = 559,286,946
  5. Step 5: Solve for x
    x = 559,286,946/27,378.25
  6. Step 6: Final answer
    x = 20,428.15

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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.