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Finding the Fourth Proportional to 27,553.84, 38,024.24 and 14,978.59

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Solution

The fourth proportional to 27,553.84, 38,024.24 and 14,978.59 is: 20,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,553.84 : 38,024.24 = 14,978.59 : x
  2. Step 2: Convert to fraction form
    27,553.84/38,024.24 = 14,978.59/x
  3. Step 3: Cross multiply
    27,553.84x = 38,024.24 × 14,978.59
  4. Step 4: Simplify right side
    27,553.84x = 569,549,331.07
  5. Step 5: Solve for x
    x = 569,549,331.07/27,553.84
  6. Step 6: Final answer
    x = 20,670.42

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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.