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Finding the Fourth Proportional to 14,632.01, 20,206.12 and 13,835.03

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Solution

The fourth proportional to 14,632.01, 20,206.12 and 13,835.03 is: 19,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.01 : 20,206.12 = 13,835.03 : x
  2. Step 2: Convert to fraction form
    14,632.01/20,206.12 = 13,835.03/x
  3. Step 3: Cross multiply
    14,632.01x = 20,206.12 × 13,835.03
  4. Step 4: Simplify right side
    14,632.01x = 279,552,276.38
  5. Step 5: Solve for x
    x = 279,552,276.38/14,632.01
  6. Step 6: Final answer
    x = 19,105.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.