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Finding the Fourth Proportional to 14,421.98, 21,632.97 and 9,014.02

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Solution

The fourth proportional to 14,421.98, 21,632.97 and 9,014.02 is: 13,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.98 : 21,632.97 = 9,014.02 : x
  2. Step 2: Convert to fraction form
    14,421.98/21,632.97 = 9,014.02/x
  3. Step 3: Cross multiply
    14,421.98x = 21,632.97 × 9,014.02
  4. Step 4: Simplify right side
    14,421.98x = 195,000,003.96
  5. Step 5: Solve for x
    x = 195,000,003.96/14,421.98
  6. Step 6: Final answer
    x = 13,521.03

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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.