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Finding the Fourth Proportional to 15,078.40, 22,628.40 and 8,497.60

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Solution

The fourth proportional to 15,078.40, 22,628.40 and 8,497.60 is: 12,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.40 : 22,628.40 = 8,497.60 : x
  2. Step 2: Convert to fraction form
    15,078.40/22,628.40 = 8,497.60/x
  3. Step 3: Cross multiply
    15,078.40x = 22,628.40 × 8,497.60
  4. Step 4: Simplify right side
    15,078.40x = 192,287,091.84
  5. Step 5: Solve for x
    x = 192,287,091.84/15,078.40
  6. Step 6: Final answer
    x = 12,752.49

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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.