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Finding the Fourth Proportional to 14,310.98, 19,749.14 and 8,023.35

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Solution

The fourth proportional to 14,310.98, 19,749.14 and 8,023.35 is: 11,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.98 : 19,749.14 = 8,023.35 : x
  2. Step 2: Convert to fraction form
    14,310.98/19,749.14 = 8,023.35/x
  3. Step 3: Cross multiply
    14,310.98x = 19,749.14 × 8,023.35
  4. Step 4: Simplify right side
    14,310.98x = 158,454,222.30
  5. Step 5: Solve for x
    x = 158,454,222.30/14,310.98
  6. Step 6: Final answer
    x = 11,072.22

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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.