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Finding the Fourth Proportional to 27,569, 41,342.34 and 14,412.98

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Solution

The fourth proportional to 27,569, 41,342.34 and 14,412.98 is: 21,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 41,342.34 = 14,412.98 : x
  2. Step 2: Convert to fraction form
    27,569/41,342.34 = 14,412.98/x
  3. Step 3: Cross multiply
    27,569x = 41,342.34 × 14,412.98
  4. Step 4: Simplify right side
    27,569x = 595,866,319.57
  5. Step 5: Solve for x
    x = 595,866,319.57/27,569
  6. Step 6: Final answer
    x = 21,613.64

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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.