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Finding the Fourth Proportional to 26,824.76, 37,018.16 and 14,890

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Solution

The fourth proportional to 26,824.76, 37,018.16 and 14,890 is: 20,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,824.76 : 37,018.16 = 14,890 : x
  2. Step 2: Convert to fraction form
    26,824.76/37,018.16 = 14,890/x
  3. Step 3: Cross multiply
    26,824.76x = 37,018.16 × 14,890
  4. Step 4: Simplify right side
    26,824.76x = 551,200,402.40
  5. Step 5: Solve for x
    x = 551,200,402.40/26,824.76
  6. Step 6: Final answer
    x = 20,548.20

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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.