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Finding the Fourth Proportional to 13,103.86, 18,085.92 and 7,438.72

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Solution

The fourth proportional to 13,103.86, 18,085.92 and 7,438.72 is: 10,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.86 : 18,085.92 = 7,438.72 : x
  2. Step 2: Convert to fraction form
    13,103.86/18,085.92 = 7,438.72/x
  3. Step 3: Cross multiply
    13,103.86x = 18,085.92 × 7,438.72
  4. Step 4: Simplify right side
    13,103.86x = 134,536,094.82
  5. Step 5: Solve for x
    x = 134,536,094.82/13,103.86
  6. Step 6: Final answer
    x = 10,266.91

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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.