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Finding the Fourth Proportional to 15,324.16, 22,986.24 and 9,497.60

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Solution

The fourth proportional to 15,324.16, 22,986.24 and 9,497.60 is: 14,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.16 : 22,986.24 = 9,497.60 : x
  2. Step 2: Convert to fraction form
    15,324.16/22,986.24 = 9,497.60/x
  3. Step 3: Cross multiply
    15,324.16x = 22,986.24 × 9,497.60
  4. Step 4: Simplify right side
    15,324.16x = 218,314,113.02
  5. Step 5: Solve for x
    x = 218,314,113.02/15,324.16
  6. Step 6: Final answer
    x = 14,246.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.