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Finding the Fourth Proportional to 26,536.16, 36,620.34 and 14,600

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Solution

The fourth proportional to 26,536.16, 36,620.34 and 14,600 is: 20,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,536.16 : 36,620.34 = 14,600 : x
  2. Step 2: Convert to fraction form
    26,536.16/36,620.34 = 14,600/x
  3. Step 3: Cross multiply
    26,536.16x = 36,620.34 × 14,600
  4. Step 4: Simplify right side
    26,536.16x = 534,656,964.00
  5. Step 5: Solve for x
    x = 534,656,964.00/26,536.16
  6. Step 6: Final answer
    x = 20,148.24

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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.