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Finding the Fourth Proportional to 13,447.40, 18,558.01 and 7,782.41

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Solution

The fourth proportional to 13,447.40, 18,558.01 and 7,782.41 is: 10,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.40 : 18,558.01 = 7,782.41 : x
  2. Step 2: Convert to fraction form
    13,447.40/18,558.01 = 7,782.41/x
  3. Step 3: Cross multiply
    13,447.40x = 18,558.01 × 7,782.41
  4. Step 4: Simplify right side
    13,447.40x = 144,426,098.73
  5. Step 5: Solve for x
    x = 144,426,098.73/13,447.40
  6. Step 6: Final answer
    x = 10,740.08

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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.