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Finding the Fourth Proportional to 15,840.56, 21,862.41 and 9,556.58

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Solution

The fourth proportional to 15,840.56, 21,862.41 and 9,556.58 is: 13,189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.56 : 21,862.41 = 9,556.58 : x
  2. Step 2: Convert to fraction form
    15,840.56/21,862.41 = 9,556.58/x
  3. Step 3: Cross multiply
    15,840.56x = 21,862.41 × 9,556.58
  4. Step 4: Simplify right side
    15,840.56x = 208,929,888.98
  5. Step 5: Solve for x
    x = 208,929,888.98/15,840.56
  6. Step 6: Final answer
    x = 13,189.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.