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Finding the Fourth Proportional to 13,570.99, 20,359.41 and 4,210.81

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Solution

The fourth proportional to 13,570.99, 20,359.41 and 4,210.81 is: 6,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.99 : 20,359.41 = 4,210.81 : x
  2. Step 2: Convert to fraction form
    13,570.99/20,359.41 = 4,210.81/x
  3. Step 3: Cross multiply
    13,570.99x = 20,359.41 × 4,210.81
  4. Step 4: Simplify right side
    13,570.99x = 85,729,607.22
  5. Step 5: Solve for x
    x = 85,729,607.22/13,570.99
  6. Step 6: Final answer
    x = 6,317.12

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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.