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Finding the Fourth Proportional to 15,805.22, 21,801.54 and 9,427.64

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Solution

The fourth proportional to 15,805.22, 21,801.54 and 9,427.64 is: 13,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.22 : 21,801.54 = 9,427.64 : x
  2. Step 2: Convert to fraction form
    15,805.22/21,801.54 = 9,427.64/x
  3. Step 3: Cross multiply
    15,805.22x = 21,801.54 × 9,427.64
  4. Step 4: Simplify right side
    15,805.22x = 205,537,070.57
  5. Step 5: Solve for x
    x = 205,537,070.57/15,805.22
  6. Step 6: Final answer
    x = 13,004.38

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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.