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Finding the Fourth Proportional to 23,148.64, 34,715.76 and 8,355.64

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Solution

The fourth proportional to 23,148.64, 34,715.76 and 8,355.64 is: 12,530.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,148.64 : 34,715.76 = 8,355.64 : x
  2. Step 2: Convert to fraction form
    23,148.64/34,715.76 = 8,355.64/x
  3. Step 3: Cross multiply
    23,148.64x = 34,715.76 × 8,355.64
  4. Step 4: Simplify right side
    23,148.64x = 290,072,392.89
  5. Step 5: Solve for x
    x = 290,072,392.89/23,148.64
  6. Step 6: Final answer
    x = 12,530.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.