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Finding the Fourth Proportional to 20,509.39, 28,303.04 and 11,557.03

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Solution

The fourth proportional to 20,509.39, 28,303.04 and 11,557.03 is: 15,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.39 : 28,303.04 = 11,557.03 : x
  2. Step 2: Convert to fraction form
    20,509.39/28,303.04 = 11,557.03/x
  3. Step 3: Cross multiply
    20,509.39x = 28,303.04 × 11,557.03
  4. Step 4: Simplify right side
    20,509.39x = 327,099,082.37
  5. Step 5: Solve for x
    x = 327,099,082.37/20,509.39
  6. Step 6: Final answer
    x = 15,948.75

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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.