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Finding the Fourth Proportional to 12,019.70, 16,590.42 and 6,915.80

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Solution

The fourth proportional to 12,019.70, 16,590.42 and 6,915.80 is: 9,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.70 : 16,590.42 = 6,915.80 : x
  2. Step 2: Convert to fraction form
    12,019.70/16,590.42 = 6,915.80/x
  3. Step 3: Cross multiply
    12,019.70x = 16,590.42 × 6,915.80
  4. Step 4: Simplify right side
    12,019.70x = 114,735,943.68
  5. Step 5: Solve for x
    x = 114,735,943.68/12,019.70
  6. Step 6: Final answer
    x = 9,545.66

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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.