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Finding the Fourth Proportional to 26,698.32, 36,842.94 and 14,762.16

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Solution

The fourth proportional to 26,698.32, 36,842.94 and 14,762.16 is: 20,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,698.32 : 36,842.94 = 14,762.16 : x
  2. Step 2: Convert to fraction form
    26,698.32/36,842.94 = 14,762.16/x
  3. Step 3: Cross multiply
    26,698.32x = 36,842.94 × 14,762.16
  4. Step 4: Simplify right side
    26,698.32x = 543,881,375.15
  5. Step 5: Solve for x
    x = 543,881,375.15/26,698.32
  6. Step 6: Final answer
    x = 20,371.37

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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.