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Finding the Fourth Proportional to 13,193.63, 18,208.94 and 7,527.07

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Solution

The fourth proportional to 13,193.63, 18,208.94 and 7,527.07 is: 10,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.63 : 18,208.94 = 7,527.07 : x
  2. Step 2: Convert to fraction form
    13,193.63/18,208.94 = 7,527.07/x
  3. Step 3: Cross multiply
    13,193.63x = 18,208.94 × 7,527.07
  4. Step 4: Simplify right side
    13,193.63x = 137,059,966.01
  5. Step 5: Solve for x
    x = 137,059,966.01/13,193.63
  6. Step 6: Final answer
    x = 10,388.34

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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.