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Finding the Fourth Proportional to 14,811.59, 20,439.94 and 8,097.22

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Solution

The fourth proportional to 14,811.59, 20,439.94 and 8,097.22 is: 11,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.59 : 20,439.94 = 8,097.22 : x
  2. Step 2: Convert to fraction form
    14,811.59/20,439.94 = 8,097.22/x
  3. Step 3: Cross multiply
    14,811.59x = 20,439.94 × 8,097.22
  4. Step 4: Simplify right side
    14,811.59x = 165,506,548.28
  5. Step 5: Solve for x
    x = 165,506,548.28/14,811.59
  6. Step 6: Final answer
    x = 11,174.13

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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.