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Finding the Fourth Proportional to 12,820.80, 17,666.46 and 9,458.30

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Solution

The fourth proportional to 12,820.80, 17,666.46 and 9,458.30 is: 13,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.80 : 17,666.46 = 9,458.30 : x
  2. Step 2: Convert to fraction form
    12,820.80/17,666.46 = 9,458.30/x
  3. Step 3: Cross multiply
    12,820.80x = 17,666.46 × 9,458.30
  4. Step 4: Simplify right side
    12,820.80x = 167,094,678.62
  5. Step 5: Solve for x
    x = 167,094,678.62/12,820.80
  6. Step 6: Final answer
    x = 13,033.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.