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Finding the Fourth Proportional to 15,520.96, 23,270.64 and 9,597.16

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Solution

The fourth proportional to 15,520.96, 23,270.64 and 9,597.16 is: 14,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520.96 : 23,270.64 = 9,597.16 : x
  2. Step 2: Convert to fraction form
    15,520.96/23,270.64 = 9,597.16/x
  3. Step 3: Cross multiply
    15,520.96x = 23,270.64 × 9,597.16
  4. Step 4: Simplify right side
    15,520.96x = 223,332,055.38
  5. Step 5: Solve for x
    x = 223,332,055.38/15,520.96
  6. Step 6: Final answer
    x = 14,389.06

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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.