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Finding the Fourth Proportional to 13,302.85, 18,357.86 and 7,334.50

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Solution

The fourth proportional to 13,302.85, 18,357.86 and 7,334.50 is: 10,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.85 : 18,357.86 = 7,334.50 : x
  2. Step 2: Convert to fraction form
    13,302.85/18,357.86 = 7,334.50/x
  3. Step 3: Cross multiply
    13,302.85x = 18,357.86 × 7,334.50
  4. Step 4: Simplify right side
    13,302.85x = 134,645,724.17
  5. Step 5: Solve for x
    x = 134,645,724.17/13,302.85
  6. Step 6: Final answer
    x = 10,121.57

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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.