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Finding the Fourth Proportional to 14,828.22, 20,462.94 and 9,523.01

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Solution

The fourth proportional to 14,828.22, 20,462.94 and 9,523.01 is: 13,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.22 : 20,462.94 = 9,523.01 : x
  2. Step 2: Convert to fraction form
    14,828.22/20,462.94 = 9,523.01/x
  3. Step 3: Cross multiply
    14,828.22x = 20,462.94 × 9,523.01
  4. Step 4: Simplify right side
    14,828.22x = 194,868,679.93
  5. Step 5: Solve for x
    x = 194,868,679.93/14,828.22
  6. Step 6: Final answer
    x = 13,141.74

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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.