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Finding the Fourth Proportional to 27,523.67, 37,981.64 and 14,948.15

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Solution

The fourth proportional to 27,523.67, 37,981.64 and 14,948.15 is: 20,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.67 : 37,981.64 = 14,948.15 : x
  2. Step 2: Convert to fraction form
    27,523.67/37,981.64 = 14,948.15/x
  3. Step 3: Cross multiply
    27,523.67x = 37,981.64 × 14,948.15
  4. Step 4: Simplify right side
    27,523.67x = 567,755,099.43
  5. Step 5: Solve for x
    x = 567,755,099.43/27,523.67
  6. Step 6: Final answer
    x = 20,627.89

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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.