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Finding the Fourth Proportional to 14,145.84, 21,223.37 and 6,749.34

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Solution

The fourth proportional to 14,145.84, 21,223.37 and 6,749.34 is: 10,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.84 : 21,223.37 = 6,749.34 : x
  2. Step 2: Convert to fraction form
    14,145.84/21,223.37 = 6,749.34/x
  3. Step 3: Cross multiply
    14,145.84x = 21,223.37 × 6,749.34
  4. Step 4: Simplify right side
    14,145.84x = 143,243,811.23
  5. Step 5: Solve for x
    x = 143,243,811.23/14,145.84
  6. Step 6: Final answer
    x = 10,126.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.