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Finding the Fourth Proportional to 12,798.76, 19,200.06 and 3,565.48

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Solution

The fourth proportional to 12,798.76, 19,200.06 and 3,565.48 is: 5,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.76 : 19,200.06 = 3,565.48 : x
  2. Step 2: Convert to fraction form
    12,798.76/19,200.06 = 3,565.48/x
  3. Step 3: Cross multiply
    12,798.76x = 19,200.06 × 3,565.48
  4. Step 4: Simplify right side
    12,798.76x = 68,457,429.93
  5. Step 5: Solve for x
    x = 68,457,429.93/12,798.76
  6. Step 6: Final answer
    x = 5,348.75

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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.