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Finding the Fourth Proportional to 28,009.92, 38,648 and 16,077.12

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Solution

The fourth proportional to 28,009.92, 38,648 and 16,077.12 is: 22,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,009.92 : 38,648 = 16,077.12 : x
  2. Step 2: Convert to fraction form
    28,009.92/38,648 = 16,077.12/x
  3. Step 3: Cross multiply
    28,009.92x = 38,648 × 16,077.12
  4. Step 4: Simplify right side
    28,009.92x = 621,348,533.76
  5. Step 5: Solve for x
    x = 621,348,533.76/28,009.92
  6. Step 6: Final answer
    x = 22,183.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.