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Finding the Fourth Proportional to 13,415.86, 18,513.82 and 7,447.48

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Solution

The fourth proportional to 13,415.86, 18,513.82 and 7,447.48 is: 10,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.86 : 18,513.82 = 7,447.48 : x
  2. Step 2: Convert to fraction form
    13,415.86/18,513.82 = 7,447.48/x
  3. Step 3: Cross multiply
    13,415.86x = 18,513.82 × 7,447.48
  4. Step 4: Simplify right side
    13,415.86x = 137,881,267.20
  5. Step 5: Solve for x
    x = 137,881,267.20/13,415.86
  6. Step 6: Final answer
    x = 10,277.48

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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.