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Finding the Fourth Proportional to 13,534.40, 18,677.01 and 9,507.06

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Solution

The fourth proportional to 13,534.40, 18,677.01 and 9,507.06 is: 13,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.40 : 18,677.01 = 9,507.06 : x
  2. Step 2: Convert to fraction form
    13,534.40/18,677.01 = 9,507.06/x
  3. Step 3: Cross multiply
    13,534.40x = 18,677.01 × 9,507.06
  4. Step 4: Simplify right side
    13,534.40x = 177,563,361.31
  5. Step 5: Solve for x
    x = 177,563,361.31/13,534.40
  6. Step 6: Final answer
    x = 13,119.42

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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.