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Finding the Fourth Proportional to 16,023.10, 22,080.64 and 11,538.38

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Solution

The fourth proportional to 16,023.10, 22,080.64 and 11,538.38 is: 15,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023.10 : 22,080.64 = 11,538.38 : x
  2. Step 2: Convert to fraction form
    16,023.10/22,080.64 = 11,538.38/x
  3. Step 3: Cross multiply
    16,023.10x = 22,080.64 × 11,538.38
  4. Step 4: Simplify right side
    16,023.10x = 254,774,646.87
  5. Step 5: Solve for x
    x = 254,774,646.87/16,023.10
  6. Step 6: Final answer
    x = 15,900.46

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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.