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Finding the Fourth Proportional to 20,509.65, 28,310.35 and 12,014.50

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Solution

The fourth proportional to 20,509.65, 28,310.35 and 12,014.50 is: 16,584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.65 : 28,310.35 = 12,014.50 : x
  2. Step 2: Convert to fraction form
    20,509.65/28,310.35 = 12,014.50/x
  3. Step 3: Cross multiply
    20,509.65x = 28,310.35 × 12,014.50
  4. Step 4: Simplify right side
    20,509.65x = 340,134,730.11
  5. Step 5: Solve for x
    x = 340,134,730.11/20,509.65
  6. Step 6: Final answer
    x = 16,584.13

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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.