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Finding the Fourth Proportional to 23,185.76, 34,785.16 and 7,614.32

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Solution

The fourth proportional to 23,185.76, 34,785.16 and 7,614.32 is: 11,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185.76 : 34,785.16 = 7,614.32 : x
  2. Step 2: Convert to fraction form
    23,185.76/34,785.16 = 7,614.32/x
  3. Step 3: Cross multiply
    23,185.76x = 34,785.16 × 7,614.32
  4. Step 4: Simplify right side
    23,185.76x = 264,865,339.49
  5. Step 5: Solve for x
    x = 264,865,339.49/23,185.76
  6. Step 6: Final answer
    x = 11,423.62

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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.