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Finding the Fourth Proportional to 13,706.30, 20,567.28 and 7,466.06

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Solution

The fourth proportional to 13,706.30, 20,567.28 and 7,466.06 is: 11,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.30 : 20,567.28 = 7,466.06 : x
  2. Step 2: Convert to fraction form
    13,706.30/20,567.28 = 7,466.06/x
  3. Step 3: Cross multiply
    13,706.30x = 20,567.28 × 7,466.06
  4. Step 4: Simplify right side
    13,706.30x = 153,556,546.52
  5. Step 5: Solve for x
    x = 153,556,546.52/13,706.30
  6. Step 6: Final answer
    x = 11,203.36

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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.