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Finding the Fourth Proportional to 26,153.76, 36,090.69 and 14,217

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Solution

The fourth proportional to 26,153.76, 36,090.69 and 14,217 is: 19,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,153.76 : 36,090.69 = 14,217 : x
  2. Step 2: Convert to fraction form
    26,153.76/36,090.69 = 14,217/x
  3. Step 3: Cross multiply
    26,153.76x = 36,090.69 × 14,217
  4. Step 4: Simplify right side
    26,153.76x = 513,101,339.73
  5. Step 5: Solve for x
    x = 513,101,339.73/26,153.76
  6. Step 6: Final answer
    x = 19,618.65

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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.