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Finding the Fourth Proportional to 23,055.72, 34,551.14 and 13,180.20

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Solution

The fourth proportional to 23,055.72, 34,551.14 and 13,180.20 is: 19,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,055.72 : 34,551.14 = 13,180.20 : x
  2. Step 2: Convert to fraction form
    23,055.72/34,551.14 = 13,180.20/x
  3. Step 3: Cross multiply
    23,055.72x = 34,551.14 × 13,180.20
  4. Step 4: Simplify right side
    23,055.72x = 455,390,935.43
  5. Step 5: Solve for x
    x = 455,390,935.43/23,055.72
  6. Step 6: Final answer
    x = 19,751.76

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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.