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Finding the Fourth Proportional to 20,300.32, 30,435.72 and 13,710.16

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Solution

The fourth proportional to 20,300.32, 30,435.72 and 13,710.16 is: 20,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,300.32 : 30,435.72 = 13,710.16 : x
  2. Step 2: Convert to fraction form
    20,300.32/30,435.72 = 13,710.16/x
  3. Step 3: Cross multiply
    20,300.32x = 30,435.72 × 13,710.16
  4. Step 4: Simplify right side
    20,300.32x = 417,278,590.92
  5. Step 5: Solve for x
    x = 417,278,590.92/20,300.32
  6. Step 6: Final answer
    x = 20,555.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.