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Finding the Fourth Proportional to 14,299.98, 19,732.38 and 8,330.40

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Solution

The fourth proportional to 14,299.98, 19,732.38 and 8,330.40 is: 11,495.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,299.98 : 19,732.38 = 8,330.40 : x
  2. Step 2: Convert to fraction form
    14,299.98/19,732.38 = 8,330.40/x
  3. Step 3: Cross multiply
    14,299.98x = 19,732.38 × 8,330.40
  4. Step 4: Simplify right side
    14,299.98x = 164,378,618.35
  5. Step 5: Solve for x
    x = 164,378,618.35/14,299.98
  6. Step 6: Final answer
    x = 11,495.02

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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.