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Finding the Fourth Proportional to 13,097.34, 18,074.69 and 7,432.32

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Solution

The fourth proportional to 13,097.34, 18,074.69 and 7,432.32 is: 10,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.34 : 18,074.69 = 7,432.32 : x
  2. Step 2: Convert to fraction form
    13,097.34/18,074.69 = 7,432.32/x
  3. Step 3: Cross multiply
    13,097.34x = 18,074.69 × 7,432.32
  4. Step 4: Simplify right side
    13,097.34x = 134,336,879.98
  5. Step 5: Solve for x
    x = 134,336,879.98/13,097.34
  6. Step 6: Final answer
    x = 10,256.81

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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.