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Finding the Fourth Proportional to 13,684.98, 18,885.41 and 8,023.08

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Solution

The fourth proportional to 13,684.98, 18,885.41 and 8,023.08 is: 11,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.98 : 18,885.41 = 8,023.08 : x
  2. Step 2: Convert to fraction form
    13,684.98/18,885.41 = 8,023.08/x
  3. Step 3: Cross multiply
    13,684.98x = 18,885.41 × 8,023.08
  4. Step 4: Simplify right side
    13,684.98x = 151,519,246.14
  5. Step 5: Solve for x
    x = 151,519,246.14/13,684.98
  6. Step 6: Final answer
    x = 11,071.93

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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.