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Finding the Fourth Proportional to 13,205.47, 19,808.22 and 12,330.67

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Solution

The fourth proportional to 13,205.47, 19,808.22 and 12,330.67 is: 18,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.47 : 19,808.22 = 12,330.67 : x
  2. Step 2: Convert to fraction form
    13,205.47/19,808.22 = 12,330.67/x
  3. Step 3: Cross multiply
    13,205.47x = 19,808.22 × 12,330.67
  4. Step 4: Simplify right side
    13,205.47x = 244,248,624.11
  5. Step 5: Solve for x
    x = 244,248,624.11/13,205.47
  6. Step 6: Final answer
    x = 18,496.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.