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Finding the Fourth Proportional to 27,378.50, 37,782.42 and 14,803.34

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Solution

The fourth proportional to 27,378.50, 37,782.42 and 14,803.34 is: 20,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.50 : 37,782.42 = 14,803.34 : x
  2. Step 2: Convert to fraction form
    27,378.50/37,782.42 = 14,803.34/x
  3. Step 3: Cross multiply
    27,378.50x = 37,782.42 × 14,803.34
  4. Step 4: Simplify right side
    27,378.50x = 559,306,009.28
  5. Step 5: Solve for x
    x = 559,306,009.28/27,378.50
  6. Step 6: Final answer
    x = 20,428.66

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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.