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Finding the Fourth Proportional to 23,141.40, 34,712.10 and 11,477.40

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Solution

The fourth proportional to 23,141.40, 34,712.10 and 11,477.40 is: 17,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.40 : 34,712.10 = 11,477.40 : x
  2. Step 2: Convert to fraction form
    23,141.40/34,712.10 = 11,477.40/x
  3. Step 3: Cross multiply
    23,141.40x = 34,712.10 × 11,477.40
  4. Step 4: Simplify right side
    23,141.40x = 398,404,656.54
  5. Step 5: Solve for x
    x = 398,404,656.54/23,141.40
  6. Step 6: Final answer
    x = 17,216.10

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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.