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Finding the Fourth Proportional to 14,146.09, 21,223.74 and 6,749.59

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Solution

The fourth proportional to 14,146.09, 21,223.74 and 6,749.59 is: 10,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.09 : 21,223.74 = 6,749.59 : x
  2. Step 2: Convert to fraction form
    14,146.09/21,223.74 = 6,749.59/x
  3. Step 3: Cross multiply
    14,146.09x = 21,223.74 × 6,749.59
  4. Step 4: Simplify right side
    14,146.09x = 143,251,543.27
  5. Step 5: Solve for x
    x = 143,251,543.27/14,146.09
  6. Step 6: Final answer
    x = 10,126.58

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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.