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Finding the Fourth Proportional to 17,978.08, 26,973.60 and 9,217.12

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Solution

The fourth proportional to 17,978.08, 26,973.60 and 9,217.12 is: 13,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.08 : 26,973.60 = 9,217.12 : x
  2. Step 2: Convert to fraction form
    17,978.08/26,973.60 = 9,217.12/x
  3. Step 3: Cross multiply
    17,978.08x = 26,973.60 × 9,217.12
  4. Step 4: Simplify right side
    17,978.08x = 248,618,908.03
  5. Step 5: Solve for x
    x = 248,618,908.03/17,978.08
  6. Step 6: Final answer
    x = 13,829.00

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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.