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Finding the Fourth Proportional to 12,702.75, 17,530.34 and 7,396.71

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Solution

The fourth proportional to 12,702.75, 17,530.34 and 7,396.71 is: 10,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.75 : 17,530.34 = 7,396.71 : x
  2. Step 2: Convert to fraction form
    12,702.75/17,530.34 = 7,396.71/x
  3. Step 3: Cross multiply
    12,702.75x = 17,530.34 × 7,396.71
  4. Step 4: Simplify right side
    12,702.75x = 129,666,804.20
  5. Step 5: Solve for x
    x = 129,666,804.20/12,702.75
  6. Step 6: Final answer
    x = 10,207.77

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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.