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Finding the Fourth Proportional to 14,026.12, 19,356.58 and 7,738.28

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Solution

The fourth proportional to 14,026.12, 19,356.58 and 7,738.28 is: 10,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026.12 : 19,356.58 = 7,738.28 : x
  2. Step 2: Convert to fraction form
    14,026.12/19,356.58 = 7,738.28/x
  3. Step 3: Cross multiply
    14,026.12x = 19,356.58 × 7,738.28
  4. Step 4: Simplify right side
    14,026.12x = 149,786,635.88
  5. Step 5: Solve for x
    x = 149,786,635.88/14,026.12
  6. Step 6: Final answer
    x = 10,679.12

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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.