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Finding the Fourth Proportional to 13,153.76, 18,152.72 and 7,564.76

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Solution

The fourth proportional to 13,153.76, 18,152.72 and 7,564.76 is: 10,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.76 : 18,152.72 = 7,564.76 : x
  2. Step 2: Convert to fraction form
    13,153.76/18,152.72 = 7,564.76/x
  3. Step 3: Cross multiply
    13,153.76x = 18,152.72 × 7,564.76
  4. Step 4: Simplify right side
    13,153.76x = 137,320,970.15
  5. Step 5: Solve for x
    x = 137,320,970.15/13,153.76
  6. Step 6: Final answer
    x = 10,439.67

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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.