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Finding the Fourth Proportional to 12,205.41, 18,332.72 and 7,284.66

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Solution

The fourth proportional to 12,205.41, 18,332.72 and 7,284.66 is: 10,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.41 : 18,332.72 = 7,284.66 : x
  2. Step 2: Convert to fraction form
    12,205.41/18,332.72 = 7,284.66/x
  3. Step 3: Cross multiply
    12,205.41x = 18,332.72 × 7,284.66
  4. Step 4: Simplify right side
    12,205.41x = 133,547,595.65
  5. Step 5: Solve for x
    x = 133,547,595.65/12,205.41
  6. Step 6: Final answer
    x = 10,941.67

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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.