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Finding the Fourth Proportional to 26,151.76, 36,087.93 and 14,215

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Solution

The fourth proportional to 26,151.76, 36,087.93 and 14,215 is: 19,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,151.76 : 36,087.93 = 14,215 : x
  2. Step 2: Convert to fraction form
    26,151.76/36,087.93 = 14,215/x
  3. Step 3: Cross multiply
    26,151.76x = 36,087.93 × 14,215
  4. Step 4: Simplify right side
    26,151.76x = 512,989,924.95
  5. Step 5: Solve for x
    x = 512,989,924.95/26,151.76
  6. Step 6: Final answer
    x = 19,615.89

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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.