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Finding the Fourth Proportional to 20,823.57, 28,745.87 and 13,280.00

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Solution

The fourth proportional to 20,823.57, 28,745.87 and 13,280.00 is: 18,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.57 : 28,745.87 = 13,280.00 : x
  2. Step 2: Convert to fraction form
    20,823.57/28,745.87 = 13,280.00/x
  3. Step 3: Cross multiply
    20,823.57x = 28,745.87 × 13,280.00
  4. Step 4: Simplify right side
    20,823.57x = 381,744,943.47
  5. Step 5: Solve for x
    x = 381,744,943.47/20,823.57
  6. Step 6: Final answer
    x = 18,332.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.