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Finding the Fourth Proportional to 14,397.66, 21,606.21 and 5,631.48

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Solution

The fourth proportional to 14,397.66, 21,606.21 and 5,631.48 is: 8,451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.66 : 21,606.21 = 5,631.48 : x
  2. Step 2: Convert to fraction form
    14,397.66/21,606.21 = 5,631.48/x
  3. Step 3: Cross multiply
    14,397.66x = 21,606.21 × 5,631.48
  4. Step 4: Simplify right side
    14,397.66x = 121,674,939.49
  5. Step 5: Solve for x
    x = 121,674,939.49/14,397.66
  6. Step 6: Final answer
    x = 8,451.02

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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.