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Finding the Fourth Proportional to 30,278.94, 45,423.84 and 12,509.60

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Solution

The fourth proportional to 30,278.94, 45,423.84 and 12,509.60 is: 18,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.94 : 45,423.84 = 12,509.60 : x
  2. Step 2: Convert to fraction form
    30,278.94/45,423.84 = 12,509.60/x
  3. Step 3: Cross multiply
    30,278.94x = 45,423.84 × 12,509.60
  4. Step 4: Simplify right side
    30,278.94x = 568,234,068.86
  5. Step 5: Solve for x
    x = 568,234,068.86/30,278.94
  6. Step 6: Final answer
    x = 18,766.64

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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.