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Finding the Fourth Proportional to 14,309.81, 19,747.46 and 8,022.18

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Solution

The fourth proportional to 14,309.81, 19,747.46 and 8,022.18 is: 11,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.81 : 19,747.46 = 8,022.18 : x
  2. Step 2: Convert to fraction form
    14,309.81/19,747.46 = 8,022.18/x
  3. Step 3: Cross multiply
    14,309.81x = 19,747.46 × 8,022.18
  4. Step 4: Simplify right side
    14,309.81x = 158,417,638.55
  5. Step 5: Solve for x
    x = 158,417,638.55/14,309.81
  6. Step 6: Final answer
    x = 11,070.57

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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.