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Finding the Fourth Proportional to 14,507.63, 20,019.01 and 8,538.94

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Solution

The fourth proportional to 14,507.63, 20,019.01 and 8,538.94 is: 11,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.63 : 20,019.01 = 8,538.94 : x
  2. Step 2: Convert to fraction form
    14,507.63/20,019.01 = 8,538.94/x
  3. Step 3: Cross multiply
    14,507.63x = 20,019.01 × 8,538.94
  4. Step 4: Simplify right side
    14,507.63x = 170,940,982.46
  5. Step 5: Solve for x
    x = 170,940,982.46/14,507.63
  6. Step 6: Final answer
    x = 11,782.84

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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.