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Finding the Fourth Proportional to 12,835.08, 17,702.82 and 8,642.52

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Solution

The fourth proportional to 12,835.08, 17,702.82 and 8,642.52 is: 11,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.08 : 17,702.82 = 8,642.52 : x
  2. Step 2: Convert to fraction form
    12,835.08/17,702.82 = 8,642.52/x
  3. Step 3: Cross multiply
    12,835.08x = 17,702.82 × 8,642.52
  4. Step 4: Simplify right side
    12,835.08x = 152,996,975.91
  5. Step 5: Solve for x
    x = 152,996,975.91/12,835.08
  6. Step 6: Final answer
    x = 11,920.22

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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.