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Finding the Fourth Proportional to 13,322.34, 18,385.44 and 7,658.93

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Solution

The fourth proportional to 13,322.34, 18,385.44 and 7,658.93 is: 10,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.34 : 18,385.44 = 7,658.93 : x
  2. Step 2: Convert to fraction form
    13,322.34/18,385.44 = 7,658.93/x
  3. Step 3: Cross multiply
    13,322.34x = 18,385.44 × 7,658.93
  4. Step 4: Simplify right side
    13,322.34x = 140,812,706.05
  5. Step 5: Solve for x
    x = 140,812,706.05/13,322.34
  6. Step 6: Final answer
    x = 10,569.67

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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.