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Finding the Fourth Proportional to 19,984.83, 29,978.54 and 6,657.26

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Solution

The fourth proportional to 19,984.83, 29,978.54 and 6,657.26 is: 9,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,984.83 : 29,978.54 = 6,657.26 : x
  2. Step 2: Convert to fraction form
    19,984.83/29,978.54 = 6,657.26/x
  3. Step 3: Cross multiply
    19,984.83x = 29,978.54 × 6,657.26
  4. Step 4: Simplify right side
    19,984.83x = 199,574,776.99
  5. Step 5: Solve for x
    x = 199,574,776.99/19,984.83
  6. Step 6: Final answer
    x = 9,986.32

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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.