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Finding the Fourth Proportional to 14,200.98, 21,301.49 and 14,180.46

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Solution

The fourth proportional to 14,200.98, 21,301.49 and 14,180.46 is: 21,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.98 : 21,301.49 = 14,180.46 : x
  2. Step 2: Convert to fraction form
    14,200.98/21,301.49 = 14,180.46/x
  3. Step 3: Cross multiply
    14,200.98x = 21,301.49 × 14,180.46
  4. Step 4: Simplify right side
    14,200.98x = 302,064,926.89
  5. Step 5: Solve for x
    x = 302,064,926.89/14,200.98
  6. Step 6: Final answer
    x = 21,270.71

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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.