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Finding the Fourth Proportional to 14,445.27, 19,933.56 and 8,071.38

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Solution

The fourth proportional to 14,445.27, 19,933.56 and 8,071.38 is: 11,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445.27 : 19,933.56 = 8,071.38 : x
  2. Step 2: Convert to fraction form
    14,445.27/19,933.56 = 8,071.38/x
  3. Step 3: Cross multiply
    14,445.27x = 19,933.56 × 8,071.38
  4. Step 4: Simplify right side
    14,445.27x = 160,891,337.51
  5. Step 5: Solve for x
    x = 160,891,337.51/14,445.27
  6. Step 6: Final answer
    x = 11,137.99

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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.