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Finding the Fourth Proportional to 14,496.64, 20,002.62 and 13,758.46

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Solution

The fourth proportional to 14,496.64, 20,002.62 and 13,758.46 is: 18,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.64 : 20,002.62 = 13,758.46 : x
  2. Step 2: Convert to fraction form
    14,496.64/20,002.62 = 13,758.46/x
  3. Step 3: Cross multiply
    14,496.64x = 20,002.62 × 13,758.46
  4. Step 4: Simplify right side
    14,496.64x = 275,205,247.17
  5. Step 5: Solve for x
    x = 275,205,247.17/14,496.64
  6. Step 6: Final answer
    x = 18,984.07

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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.