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Finding the Fourth Proportional to 14,148.98, 21,223.47 and 3,761.78

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Solution

The fourth proportional to 14,148.98, 21,223.47 and 3,761.78 is: 5,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.98 : 21,223.47 = 3,761.78 : x
  2. Step 2: Convert to fraction form
    14,148.98/21,223.47 = 3,761.78/x
  3. Step 3: Cross multiply
    14,148.98x = 21,223.47 × 3,761.78
  4. Step 4: Simplify right side
    14,148.98x = 79,838,024.98
  5. Step 5: Solve for x
    x = 79,838,024.98/14,148.98
  6. Step 6: Final answer
    x = 5,642.67

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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.