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Finding the Fourth Proportional to 13,525.98, 20,289.57 and 5,203.02

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Solution

The fourth proportional to 13,525.98, 20,289.57 and 5,203.02 is: 7,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.98 : 20,289.57 = 5,203.02 : x
  2. Step 2: Convert to fraction form
    13,525.98/20,289.57 = 5,203.02/x
  3. Step 3: Cross multiply
    13,525.98x = 20,289.57 × 5,203.02
  4. Step 4: Simplify right side
    13,525.98x = 105,567,038.50
  5. Step 5: Solve for x
    x = 105,567,038.50/13,525.98
  6. Step 6: Final answer
    x = 7,804.76

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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.