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Finding the Fourth Proportional to 23,124.68, 34,688.54 and 8,129.98

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Solution

The fourth proportional to 23,124.68, 34,688.54 and 8,129.98 is: 12,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.68 : 34,688.54 = 8,129.98 : x
  2. Step 2: Convert to fraction form
    23,124.68/34,688.54 = 8,129.98/x
  3. Step 3: Cross multiply
    23,124.68x = 34,688.54 × 8,129.98
  4. Step 4: Simplify right side
    23,124.68x = 282,017,136.43
  5. Step 5: Solve for x
    x = 282,017,136.43/23,124.68
  6. Step 6: Final answer
    x = 12,195.50

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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.