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Finding the Fourth Proportional to 14,563.64, 20,077.48 and 12,316.48

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Solution

The fourth proportional to 14,563.64, 20,077.48 and 12,316.48 is: 16,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.64 : 20,077.48 = 12,316.48 : x
  2. Step 2: Convert to fraction form
    14,563.64/20,077.48 = 12,316.48/x
  3. Step 3: Cross multiply
    14,563.64x = 20,077.48 × 12,316.48
  4. Step 4: Simplify right side
    14,563.64x = 247,283,880.87
  5. Step 5: Solve for x
    x = 247,283,880.87/14,563.64
  6. Step 6: Final answer
    x = 16,979.54

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1.5x scale

Why These Related Problems?

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