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Finding the Fourth Proportional to 19,665.80, 29,498.70 and 9,297.80

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Solution

The fourth proportional to 19,665.80, 29,498.70 and 9,297.80 is: 13,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665.80 : 29,498.70 = 9,297.80 : x
  2. Step 2: Convert to fraction form
    19,665.80/29,498.70 = 9,297.80/x
  3. Step 3: Cross multiply
    19,665.80x = 29,498.70 × 9,297.80
  4. Step 4: Simplify right side
    19,665.80x = 274,273,012.86
  5. Step 5: Solve for x
    x = 274,273,012.86/19,665.80
  6. Step 6: Final answer
    x = 13,946.70

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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.