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Finding the Fourth Proportional to 15,441.76, 21,309.24 and 9,154

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Solution

The fourth proportional to 15,441.76, 21,309.24 and 9,154 is: 12,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441.76 : 21,309.24 = 9,154 : x
  2. Step 2: Convert to fraction form
    15,441.76/21,309.24 = 9,154/x
  3. Step 3: Cross multiply
    15,441.76x = 21,309.24 × 9,154
  4. Step 4: Simplify right side
    15,441.76x = 195,064,782.96
  5. Step 5: Solve for x
    x = 195,064,782.96/15,441.76
  6. Step 6: Final answer
    x = 12,632.29

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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.