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Finding the Fourth Proportional to 20,053.12, 30,061.83 and 9,516.64

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Solution

The fourth proportional to 20,053.12, 30,061.83 and 9,516.64 is: 14,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.12 : 30,061.83 = 9,516.64 : x
  2. Step 2: Convert to fraction form
    20,053.12/30,061.83 = 9,516.64/x
  3. Step 3: Cross multiply
    20,053.12x = 30,061.83 × 9,516.64
  4. Step 4: Simplify right side
    20,053.12x = 286,087,630.75
  5. Step 5: Solve for x
    x = 286,087,630.75/20,053.12
  6. Step 6: Final answer
    x = 14,266.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.