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Finding the Fourth Proportional to 14,438.38, 19,926.69 and 8,774.05

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Solution

The fourth proportional to 14,438.38, 19,926.69 and 8,774.05 is: 12,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438.38 : 19,926.69 = 8,774.05 : x
  2. Step 2: Convert to fraction form
    14,438.38/19,926.69 = 8,774.05/x
  3. Step 3: Cross multiply
    14,438.38x = 19,926.69 × 8,774.05
  4. Step 4: Simplify right side
    14,438.38x = 174,837,774.39
  5. Step 5: Solve for x
    x = 174,837,774.39/14,438.38
  6. Step 6: Final answer
    x = 12,109.24

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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.