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Finding the Fourth Proportional to 14,449.50, 21,674.25 and 4,061.25

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Solution

The fourth proportional to 14,449.50, 21,674.25 and 4,061.25 is: 6,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.50 : 21,674.25 = 4,061.25 : x
  2. Step 2: Convert to fraction form
    14,449.50/21,674.25 = 4,061.25/x
  3. Step 3: Cross multiply
    14,449.50x = 21,674.25 × 4,061.25
  4. Step 4: Simplify right side
    14,449.50x = 88,024,547.81
  5. Step 5: Solve for x
    x = 88,024,547.81/14,449.50
  6. Step 6: Final answer
    x = 6,091.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.