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Finding the Fourth Proportional to 27,553.75, 38,024.19 and 14,978.50

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Solution

The fourth proportional to 27,553.75, 38,024.19 and 14,978.50 is: 20,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,553.75 : 38,024.19 = 14,978.50 : x
  2. Step 2: Convert to fraction form
    27,553.75/38,024.19 = 14,978.50/x
  3. Step 3: Cross multiply
    27,553.75x = 38,024.19 × 14,978.50
  4. Step 4: Simplify right side
    27,553.75x = 569,545,329.92
  5. Step 5: Solve for x
    x = 569,545,329.92/27,553.75
  6. Step 6: Final answer
    x = 20,670.34

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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.