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Finding the Fourth Proportional to 14,561.42, 21,842.16 and 4,031.48

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Solution

The fourth proportional to 14,561.42, 21,842.16 and 4,031.48 is: 6,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.42 : 21,842.16 = 4,031.48 : x
  2. Step 2: Convert to fraction form
    14,561.42/21,842.16 = 4,031.48/x
  3. Step 3: Cross multiply
    14,561.42x = 21,842.16 × 4,031.48
  4. Step 4: Simplify right side
    14,561.42x = 88,056,121.99
  5. Step 5: Solve for x
    x = 88,056,121.99/14,561.42
  6. Step 6: Final answer
    x = 6,047.22

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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.