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Finding the Fourth Proportional to 14,457.28, 21,685.88 and 4,069

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Solution

The fourth proportional to 14,457.28, 21,685.88 and 4,069 is: 6,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.28 : 21,685.88 = 4,069 : x
  2. Step 2: Convert to fraction form
    14,457.28/21,685.88 = 4,069/x
  3. Step 3: Cross multiply
    14,457.28x = 21,685.88 × 4,069
  4. Step 4: Simplify right side
    14,457.28x = 88,239,845.72
  5. Step 5: Solve for x
    x = 88,239,845.72/14,457.28
  6. Step 6: Final answer
    x = 6,103.49

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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.