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Finding the Fourth Proportional to 13,509.52, 20,250.48 and 5,187.40

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Solution

The fourth proportional to 13,509.52, 20,250.48 and 5,187.40 is: 7,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.52 : 20,250.48 = 5,187.40 : x
  2. Step 2: Convert to fraction form
    13,509.52/20,250.48 = 5,187.40/x
  3. Step 3: Cross multiply
    13,509.52x = 20,250.48 × 5,187.40
  4. Step 4: Simplify right side
    13,509.52x = 105,047,339.95
  5. Step 5: Solve for x
    x = 105,047,339.95/13,509.52
  6. Step 6: Final answer
    x = 7,775.80

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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.