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Finding the Fourth Proportional to 14,026.46, 19,356.15 and 7,738.70

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Solution

The fourth proportional to 14,026.46, 19,356.15 and 7,738.70 is: 10,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026.46 : 19,356.15 = 7,738.70 : x
  2. Step 2: Convert to fraction form
    14,026.46/19,356.15 = 7,738.70/x
  3. Step 3: Cross multiply
    14,026.46x = 19,356.15 × 7,738.70
  4. Step 4: Simplify right side
    14,026.46x = 149,791,438.01
  5. Step 5: Solve for x
    x = 149,791,438.01/14,026.46
  6. Step 6: Final answer
    x = 10,679.20

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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.