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Finding the Fourth Proportional to 14,187.72, 19,582.02 and 8,522.72

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Solution

The fourth proportional to 14,187.72, 19,582.02 and 8,522.72 is: 11,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.72 : 19,582.02 = 8,522.72 : x
  2. Step 2: Convert to fraction form
    14,187.72/19,582.02 = 8,522.72/x
  3. Step 3: Cross multiply
    14,187.72x = 19,582.02 × 8,522.72
  4. Step 4: Simplify right side
    14,187.72x = 166,892,073.49
  5. Step 5: Solve for x
    x = 166,892,073.49/14,187.72
  6. Step 6: Final answer
    x = 11,763.14

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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.