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Finding the Fourth Proportional to 13,497.41, 18,625.68 and 7,447.46

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Solution

The fourth proportional to 13,497.41, 18,625.68 and 7,447.46 is: 10,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.41 : 18,625.68 = 7,447.46 : x
  2. Step 2: Convert to fraction form
    13,497.41/18,625.68 = 7,447.46/x
  3. Step 3: Cross multiply
    13,497.41x = 18,625.68 × 7,447.46
  4. Step 4: Simplify right side
    13,497.41x = 138,713,913.64
  5. Step 5: Solve for x
    x = 138,713,913.64/13,497.41
  6. Step 6: Final answer
    x = 10,277.07

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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.