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Finding the Fourth Proportional to 21,302.63, 31,958.63 and 6,308.58

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Solution

The fourth proportional to 21,302.63, 31,958.63 and 6,308.58 is: 9,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.63 : 31,958.63 = 6,308.58 : x
  2. Step 2: Convert to fraction form
    21,302.63/31,958.63 = 6,308.58/x
  3. Step 3: Cross multiply
    21,302.63x = 31,958.63 × 6,308.58
  4. Step 4: Simplify right side
    21,302.63x = 201,613,542.50
  5. Step 5: Solve for x
    x = 201,613,542.50/21,302.63
  6. Step 6: Final answer
    x = 9,464.26

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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.