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Finding the Fourth Proportional to 13,174.14, 19,775.13 and 12,876.67

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Solution

The fourth proportional to 13,174.14, 19,775.13 and 12,876.67 is: 19,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.14 : 19,775.13 = 12,876.67 : x
  2. Step 2: Convert to fraction form
    13,174.14/19,775.13 = 12,876.67/x
  3. Step 3: Cross multiply
    13,174.14x = 19,775.13 × 12,876.67
  4. Step 4: Simplify right side
    13,174.14x = 254,637,823.22
  5. Step 5: Solve for x
    x = 254,637,823.22/13,174.14
  6. Step 6: Final answer
    x = 19,328.62

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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.