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Finding the Fourth Proportional to 14,191.50, 19,582.11 and 8,222.01

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Solution

The fourth proportional to 14,191.50, 19,582.11 and 8,222.01 is: 11,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.50 : 19,582.11 = 8,222.01 : x
  2. Step 2: Convert to fraction form
    14,191.50/19,582.11 = 8,222.01/x
  3. Step 3: Cross multiply
    14,191.50x = 19,582.11 × 8,222.01
  4. Step 4: Simplify right side
    14,191.50x = 161,004,304.24
  5. Step 5: Solve for x
    x = 161,004,304.24/14,191.50
  6. Step 6: Final answer
    x = 11,345.12

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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.