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Finding the Fourth Proportional to 28,109.92, 42,164.80 and 8,388

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Solution

The fourth proportional to 28,109.92, 42,164.80 and 8,388 is: 12,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,109.92 : 42,164.80 = 8,388 : x
  2. Step 2: Convert to fraction form
    28,109.92/42,164.80 = 8,388/x
  3. Step 3: Cross multiply
    28,109.92x = 42,164.80 × 8,388
  4. Step 4: Simplify right side
    28,109.92x = 353,678,342.40
  5. Step 5: Solve for x
    x = 353,678,342.40/28,109.92
  6. Step 6: Final answer
    x = 12,581.98

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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.