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Finding the Fourth Proportional to 12,307.81, 16,973.26 and 9,798.23

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Solution

The fourth proportional to 12,307.81, 16,973.26 and 9,798.23 is: 13,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.81 : 16,973.26 = 9,798.23 : x
  2. Step 2: Convert to fraction form
    12,307.81/16,973.26 = 9,798.23/x
  3. Step 3: Cross multiply
    12,307.81x = 16,973.26 × 9,798.23
  4. Step 4: Simplify right side
    12,307.81x = 166,307,905.33
  5. Step 5: Solve for x
    x = 166,307,905.33/12,307.81
  6. Step 6: Final answer
    x = 13,512.39

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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.