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Finding the Fourth Proportional to 12,308.43, 16,985.47 and 7,003.23

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Solution

The fourth proportional to 12,308.43, 16,985.47 and 7,003.23 is: 9,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.43 : 16,985.47 = 7,003.23 : x
  2. Step 2: Convert to fraction form
    12,308.43/16,985.47 = 7,003.23/x
  3. Step 3: Cross multiply
    12,308.43x = 16,985.47 × 7,003.23
  4. Step 4: Simplify right side
    12,308.43x = 118,953,153.07
  5. Step 5: Solve for x
    x = 118,953,153.07/12,308.43
  6. Step 6: Final answer
    x = 9,664.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.