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Finding the Fourth Proportional to 19,962.65, 29,945.49 and 11,643.49

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Solution

The fourth proportional to 19,962.65, 29,945.49 and 11,643.49 is: 17,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,962.65 : 29,945.49 = 11,643.49 : x
  2. Step 2: Convert to fraction form
    19,962.65/29,945.49 = 11,643.49/x
  3. Step 3: Cross multiply
    19,962.65x = 29,945.49 × 11,643.49
  4. Step 4: Simplify right side
    19,962.65x = 348,670,013.36
  5. Step 5: Solve for x
    x = 348,670,013.36/19,962.65
  6. Step 6: Final answer
    x = 17,466.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.