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Finding the Fourth Proportional to 14,443.34, 19,929.38 and 8,069.69

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Solution

The fourth proportional to 14,443.34, 19,929.38 and 8,069.69 is: 11,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.34 : 19,929.38 = 8,069.69 : x
  2. Step 2: Convert to fraction form
    14,443.34/19,929.38 = 8,069.69/x
  3. Step 3: Cross multiply
    14,443.34x = 19,929.38 × 8,069.69
  4. Step 4: Simplify right side
    14,443.34x = 160,823,962.01
  5. Step 5: Solve for x
    x = 160,823,962.01/14,443.34
  6. Step 6: Final answer
    x = 11,134.82

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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.