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Finding the Fourth Proportional to 27,378.75, 37,782.72 and 14,803.50

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Solution

The fourth proportional to 27,378.75, 37,782.72 and 14,803.50 is: 20,428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.75 : 37,782.72 = 14,803.50 : x
  2. Step 2: Convert to fraction form
    27,378.75/37,782.72 = 14,803.50/x
  3. Step 3: Cross multiply
    27,378.75x = 37,782.72 × 14,803.50
  4. Step 4: Simplify right side
    27,378.75x = 559,316,495.52
  5. Step 5: Solve for x
    x = 559,316,495.52/27,378.75
  6. Step 6: Final answer
    x = 20,428.85

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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.