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Finding the Fourth Proportional to 15,426.96, 23,148.54 and 8,412

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Solution

The fourth proportional to 15,426.96, 23,148.54 and 8,412 is: 12,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,426.96 : 23,148.54 = 8,412 : x
  2. Step 2: Convert to fraction form
    15,426.96/23,148.54 = 8,412/x
  3. Step 3: Cross multiply
    15,426.96x = 23,148.54 × 8,412
  4. Step 4: Simplify right side
    15,426.96x = 194,725,518.48
  5. Step 5: Solve for x
    x = 194,725,518.48/15,426.96
  6. Step 6: Final answer
    x = 12,622.42

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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.