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Finding the Fourth Proportional to 15,525.32, 21,415.14 and 9,233

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Solution

The fourth proportional to 15,525.32, 21,415.14 and 9,233 is: 12,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,525.32 : 21,415.14 = 9,233 : x
  2. Step 2: Convert to fraction form
    15,525.32/21,415.14 = 9,233/x
  3. Step 3: Cross multiply
    15,525.32x = 21,415.14 × 9,233
  4. Step 4: Simplify right side
    15,525.32x = 197,725,987.62
  5. Step 5: Solve for x
    x = 197,725,987.62/15,525.32
  6. Step 6: Final answer
    x = 12,735.71

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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.