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Finding the Fourth Proportional to 13,283.63, 18,328.74 and 10,096.08

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Solution

The fourth proportional to 13,283.63, 18,328.74 and 10,096.08 is: 13,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.63 : 18,328.74 = 10,096.08 : x
  2. Step 2: Convert to fraction form
    13,283.63/18,328.74 = 10,096.08/x
  3. Step 3: Cross multiply
    13,283.63x = 18,328.74 × 10,096.08
  4. Step 4: Simplify right side
    13,283.63x = 185,048,425.34
  5. Step 5: Solve for x
    x = 185,048,425.34/13,283.63
  6. Step 6: Final answer
    x = 13,930.56

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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.