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Finding the Fourth Proportional to 12,346.22, 17,038.48 and 7,309.28

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Solution

The fourth proportional to 12,346.22, 17,038.48 and 7,309.28 is: 10,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.22 : 17,038.48 = 7,309.28 : x
  2. Step 2: Convert to fraction form
    12,346.22/17,038.48 = 7,309.28/x
  3. Step 3: Cross multiply
    12,346.22x = 17,038.48 × 7,309.28
  4. Step 4: Simplify right side
    12,346.22x = 124,539,021.09
  5. Step 5: Solve for x
    x = 124,539,021.09/12,346.22
  6. Step 6: Final answer
    x = 10,087.22

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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.