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Finding the Fourth Proportional to 13,415.61, 18,513.60 and 7,447.35

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Solution

The fourth proportional to 13,415.61, 18,513.60 and 7,447.35 is: 10,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.61 : 18,513.60 = 7,447.35 : x
  2. Step 2: Convert to fraction form
    13,415.61/18,513.60 = 7,447.35/x
  3. Step 3: Cross multiply
    13,415.61x = 18,513.60 × 7,447.35
  4. Step 4: Simplify right side
    13,415.61x = 137,877,258.96
  5. Step 5: Solve for x
    x = 137,877,258.96/13,415.61
  6. Step 6: Final answer
    x = 10,277.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.