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Finding the Fourth Proportional to 14,521.56, 20,051.49 and 11,833.14

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Solution

The fourth proportional to 14,521.56, 20,051.49 and 11,833.14 is: 16,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,521.56 : 20,051.49 = 11,833.14 : x
  2. Step 2: Convert to fraction form
    14,521.56/20,051.49 = 11,833.14/x
  3. Step 3: Cross multiply
    14,521.56x = 20,051.49 × 11,833.14
  4. Step 4: Simplify right side
    14,521.56x = 237,272,088.38
  5. Step 5: Solve for x
    x = 237,272,088.38/14,521.56
  6. Step 6: Final answer
    x = 16,339.30

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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.