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Finding the Fourth Proportional to 12,317.23, 16,999.03 and 7,283.08

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Solution

The fourth proportional to 12,317.23, 16,999.03 and 7,283.08 is: 10,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.23 : 16,999.03 = 7,283.08 : x
  2. Step 2: Convert to fraction form
    12,317.23/16,999.03 = 7,283.08/x
  3. Step 3: Cross multiply
    12,317.23x = 16,999.03 × 7,283.08
  4. Step 4: Simplify right side
    12,317.23x = 123,805,295.41
  5. Step 5: Solve for x
    x = 123,805,295.41/12,317.23
  6. Step 6: Final answer
    x = 10,051.39

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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.