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Finding the Fourth Proportional to 23,022.40, 34,509.30 and 13,140.40

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Solution

The fourth proportional to 23,022.40, 34,509.30 and 13,140.40 is: 19,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,022.40 : 34,509.30 = 13,140.40 : x
  2. Step 2: Convert to fraction form
    23,022.40/34,509.30 = 13,140.40/x
  3. Step 3: Cross multiply
    23,022.40x = 34,509.30 × 13,140.40
  4. Step 4: Simplify right side
    23,022.40x = 453,466,005.72
  5. Step 5: Solve for x
    x = 453,466,005.72/23,022.40
  6. Step 6: Final answer
    x = 19,696.73

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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.