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Finding the Fourth Proportional to 14,807.26, 20,428.17 and 8,516.26

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Solution

The fourth proportional to 14,807.26, 20,428.17 and 8,516.26 is: 11,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.26 : 20,428.17 = 8,516.26 : x
  2. Step 2: Convert to fraction form
    14,807.26/20,428.17 = 8,516.26/x
  3. Step 3: Cross multiply
    14,807.26x = 20,428.17 × 8,516.26
  4. Step 4: Simplify right side
    14,807.26x = 173,971,607.04
  5. Step 5: Solve for x
    x = 173,971,607.04/14,807.26
  6. Step 6: Final answer
    x = 11,749.07

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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.