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Finding the Fourth Proportional to 13,501.98, 20,246.69 and 4,139.60

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Solution

The fourth proportional to 13,501.98, 20,246.69 and 4,139.60 is: 6,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,501.98 : 20,246.69 = 4,139.60 : x
  2. Step 2: Convert to fraction form
    13,501.98/20,246.69 = 4,139.60/x
  3. Step 3: Cross multiply
    13,501.98x = 20,246.69 × 4,139.60
  4. Step 4: Simplify right side
    13,501.98x = 83,813,075.99
  5. Step 5: Solve for x
    x = 83,813,075.99/13,501.98
  6. Step 6: Final answer
    x = 6,207.47

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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.