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Finding the Fourth Proportional to 12,613.30, 18,909.62 and 5,223.06

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Solution

The fourth proportional to 12,613.30, 18,909.62 and 5,223.06 is: 7,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.30 : 18,909.62 = 5,223.06 : x
  2. Step 2: Convert to fraction form
    12,613.30/18,909.62 = 5,223.06/x
  3. Step 3: Cross multiply
    12,613.30x = 18,909.62 × 5,223.06
  4. Step 4: Simplify right side
    12,613.30x = 98,766,079.84
  5. Step 5: Solve for x
    x = 98,766,079.84/12,613.30
  6. Step 6: Final answer
    x = 7,830.31

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