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Finding the Fourth Proportional to 20,573.32, 30,853.50 and 13,071.64

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Solution

The fourth proportional to 20,573.32, 30,853.50 and 13,071.64 is: 19,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.32 : 30,853.50 = 13,071.64 : x
  2. Step 2: Convert to fraction form
    20,573.32/30,853.50 = 13,071.64/x
  3. Step 3: Cross multiply
    20,573.32x = 30,853.50 × 13,071.64
  4. Step 4: Simplify right side
    20,573.32x = 403,305,844.74
  5. Step 5: Solve for x
    x = 403,305,844.74/20,573.32
  6. Step 6: Final answer
    x = 19,603.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.