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Finding the Fourth Proportional to 13,570.58, 20,358.77 and 4,210.39

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Solution

The fourth proportional to 13,570.58, 20,358.77 and 4,210.39 is: 6,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.58 : 20,358.77 = 4,210.39 : x
  2. Step 2: Convert to fraction form
    13,570.58/20,358.77 = 4,210.39/x
  3. Step 3: Cross multiply
    13,570.58x = 20,358.77 × 4,210.39
  4. Step 4: Simplify right side
    13,570.58x = 85,718,361.62
  5. Step 5: Solve for x
    x = 85,718,361.62/13,570.58
  6. Step 6: Final answer
    x = 6,316.48

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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.