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Finding the Fourth Proportional to 14,743.10, 20,310.86 and 10,259.16

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Solution

The fourth proportional to 14,743.10, 20,310.86 and 10,259.16 is: 14,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743.10 : 20,310.86 = 10,259.16 : x
  2. Step 2: Convert to fraction form
    14,743.10/20,310.86 = 10,259.16/x
  3. Step 3: Cross multiply
    14,743.10x = 20,310.86 × 10,259.16
  4. Step 4: Simplify right side
    14,743.10x = 208,372,362.48
  5. Step 5: Solve for x
    x = 208,372,362.48/14,743.10
  6. Step 6: Final answer
    x = 14,133.55

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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.