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Finding the Fourth Proportional to 14,714.16, 20,308.23 and 8,749.23

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Solution

The fourth proportional to 14,714.16, 20,308.23 and 8,749.23 is: 12,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.16 : 20,308.23 = 8,749.23 : x
  2. Step 2: Convert to fraction form
    14,714.16/20,308.23 = 8,749.23/x
  3. Step 3: Cross multiply
    14,714.16x = 20,308.23 × 8,749.23
  4. Step 4: Simplify right side
    14,714.16x = 177,681,375.16
  5. Step 5: Solve for x
    x = 177,681,375.16/14,714.16
  6. Step 6: Final answer
    x = 12,075.54

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