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Finding the Fourth Proportional to 13,386.54, 18,455.90 and 11,518.20

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Solution

The fourth proportional to 13,386.54, 18,455.90 and 11,518.20 is: 15,880.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.54 : 18,455.90 = 11,518.20 : x
  2. Step 2: Convert to fraction form
    13,386.54/18,455.90 = 11,518.20/x
  3. Step 3: Cross multiply
    13,386.54x = 18,455.90 × 11,518.20
  4. Step 4: Simplify right side
    13,386.54x = 212,578,747.38
  5. Step 5: Solve for x
    x = 212,578,747.38/13,386.54
  6. Step 6: Final answer
    x = 15,880.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.