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Finding the Fourth Proportional to 14,676.17, 20,256.74 and 9,012.28

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Solution

The fourth proportional to 14,676.17, 20,256.74 and 9,012.28 is: 12,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.17 : 20,256.74 = 9,012.28 : x
  2. Step 2: Convert to fraction form
    14,676.17/20,256.74 = 9,012.28/x
  3. Step 3: Cross multiply
    14,676.17x = 20,256.74 × 9,012.28
  4. Step 4: Simplify right side
    14,676.17x = 182,559,412.77
  5. Step 5: Solve for x
    x = 182,559,412.77/14,676.17
  6. Step 6: Final answer
    x = 12,439.17

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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.