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Finding the Fourth Proportional to 14,471.93, 19,971.23 and 8,507.03

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Solution

The fourth proportional to 14,471.93, 19,971.23 and 8,507.03 is: 11,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.93 : 19,971.23 = 8,507.03 : x
  2. Step 2: Convert to fraction form
    14,471.93/19,971.23 = 8,507.03/x
  3. Step 3: Cross multiply
    14,471.93x = 19,971.23 × 8,507.03
  4. Step 4: Simplify right side
    14,471.93x = 169,895,710.36
  5. Step 5: Solve for x
    x = 169,895,710.36/14,471.93
  6. Step 6: Final answer
    x = 11,739.67

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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.