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Finding the Fourth Proportional to 21,078.60, 29,033.91 and 14,693.77

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Solution

The fourth proportional to 21,078.60, 29,033.91 and 14,693.77 is: 20,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078.60 : 29,033.91 = 14,693.77 : x
  2. Step 2: Convert to fraction form
    21,078.60/29,033.91 = 14,693.77/x
  3. Step 3: Cross multiply
    21,078.60x = 29,033.91 × 14,693.77
  4. Step 4: Simplify right side
    21,078.60x = 426,617,632.03
  5. Step 5: Solve for x
    x = 426,617,632.03/21,078.60
  6. Step 6: Final answer
    x = 20,239.38

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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.