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Finding the Fourth Proportional to 26,296.12, 36,288 and 14,359.20

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Solution

The fourth proportional to 26,296.12, 36,288 and 14,359.20 is: 19,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,296.12 : 36,288 = 14,359.20 : x
  2. Step 2: Convert to fraction form
    26,296.12/36,288 = 14,359.20/x
  3. Step 3: Cross multiply
    26,296.12x = 36,288 × 14,359.20
  4. Step 4: Simplify right side
    26,296.12x = 521,066,649.60
  5. Step 5: Solve for x
    x = 521,066,649.60/26,296.12
  6. Step 6: Final answer
    x = 19,815.34

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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.