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Finding the Fourth Proportional to 13,461.58, 20,189.52 and 5,139.70

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Solution

The fourth proportional to 13,461.58, 20,189.52 and 5,139.70 is: 7,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.58 : 20,189.52 = 5,139.70 : x
  2. Step 2: Convert to fraction form
    13,461.58/20,189.52 = 5,139.70/x
  3. Step 3: Cross multiply
    13,461.58x = 20,189.52 × 5,139.70
  4. Step 4: Simplify right side
    13,461.58x = 103,768,075.94
  5. Step 5: Solve for x
    x = 103,768,075.94/13,461.58
  6. Step 6: Final answer
    x = 7,708.46

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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.