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Finding the Fourth Proportional to 20,511.63, 28,301.72 and 12,014.51

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Solution

The fourth proportional to 20,511.63, 28,301.72 and 12,014.51 is: 16,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.63 : 28,301.72 = 12,014.51 : x
  2. Step 2: Convert to fraction form
    20,511.63/28,301.72 = 12,014.51/x
  3. Step 3: Cross multiply
    20,511.63x = 28,301.72 × 12,014.51
  4. Step 4: Simplify right side
    20,511.63x = 340,031,096.38
  5. Step 5: Solve for x
    x = 340,031,096.38/20,511.63
  6. Step 6: Final answer
    x = 16,577.48

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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.