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Finding the Fourth Proportional to 12,265, 18,368.22 and 7,059.94

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Solution

The fourth proportional to 12,265, 18,368.22 and 7,059.94 is: 10,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265 : 18,368.22 = 7,059.94 : x
  2. Step 2: Convert to fraction form
    12,265/18,368.22 = 7,059.94/x
  3. Step 3: Cross multiply
    12,265x = 18,368.22 × 7,059.94
  4. Step 4: Simplify right side
    12,265x = 129,678,531.11
  5. Step 5: Solve for x
    x = 129,678,531.11/12,265
  6. Step 6: Final answer
    x = 10,573.06

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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.