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Finding the Fourth Proportional to 14,549.63, 21,832.73 and 5,663.81

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Solution

The fourth proportional to 14,549.63, 21,832.73 and 5,663.81 is: 8,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.63 : 21,832.73 = 5,663.81 : x
  2. Step 2: Convert to fraction form
    14,549.63/21,832.73 = 5,663.81/x
  3. Step 3: Cross multiply
    14,549.63x = 21,832.73 × 5,663.81
  4. Step 4: Simplify right side
    14,549.63x = 123,656,434.50
  5. Step 5: Solve for x
    x = 123,656,434.50/14,549.63
  6. Step 6: Final answer
    x = 8,498.94

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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.