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Finding the Fourth Proportional to 14,261.85, 19,680.93 and 7,974.21

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Solution

The fourth proportional to 14,261.85, 19,680.93 and 7,974.21 is: 11,004.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.85 : 19,680.93 = 7,974.21 : x
  2. Step 2: Convert to fraction form
    14,261.85/19,680.93 = 7,974.21/x
  3. Step 3: Cross multiply
    14,261.85x = 19,680.93 × 7,974.21
  4. Step 4: Simplify right side
    14,261.85x = 156,939,868.82
  5. Step 5: Solve for x
    x = 156,939,868.82/14,261.85
  6. Step 6: Final answer
    x = 11,004.17

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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.