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Finding the Fourth Proportional to 12,983.36, 17,916.64 and 7,394.08

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Solution

The fourth proportional to 12,983.36, 17,916.64 and 7,394.08 is: 10,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.36 : 17,916.64 = 7,394.08 : x
  2. Step 2: Convert to fraction form
    12,983.36/17,916.64 = 7,394.08/x
  3. Step 3: Cross multiply
    12,983.36x = 17,916.64 × 7,394.08
  4. Step 4: Simplify right side
    12,983.36x = 132,477,069.49
  5. Step 5: Solve for x
    x = 132,477,069.49/12,983.36
  6. Step 6: Final answer
    x = 10,203.60

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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.