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Finding the Fourth Proportional to 20,320.32, 28,037.52 and 12,864

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Solution

The fourth proportional to 20,320.32, 28,037.52 and 12,864 is: 17,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,320.32 : 28,037.52 = 12,864 : x
  2. Step 2: Convert to fraction form
    20,320.32/28,037.52 = 12,864/x
  3. Step 3: Cross multiply
    20,320.32x = 28,037.52 × 12,864
  4. Step 4: Simplify right side
    20,320.32x = 360,674,657.28
  5. Step 5: Solve for x
    x = 360,674,657.28/20,320.32
  6. Step 6: Final answer
    x = 17,749.46

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