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Finding the Fourth Proportional to 15,468.76, 21,346.50 and 9,181

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Solution

The fourth proportional to 15,468.76, 21,346.50 and 9,181 is: 12,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468.76 : 21,346.50 = 9,181 : x
  2. Step 2: Convert to fraction form
    15,468.76/21,346.50 = 9,181/x
  3. Step 3: Cross multiply
    15,468.76x = 21,346.50 × 9,181
  4. Step 4: Simplify right side
    15,468.76x = 195,982,216.50
  5. Step 5: Solve for x
    x = 195,982,216.50/15,468.76
  6. Step 6: Final answer
    x = 12,669.55

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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.