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Finding the Fourth Proportional to 14,165.96, 19,549.00 and 7,792.66

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Solution

The fourth proportional to 14,165.96, 19,549.00 and 7,792.66 is: 10,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.96 : 19,549.00 = 7,792.66 : x
  2. Step 2: Convert to fraction form
    14,165.96/19,549.00 = 7,792.66/x
  3. Step 3: Cross multiply
    14,165.96x = 19,549.00 × 7,792.66
  4. Step 4: Simplify right side
    14,165.96x = 152,338,590.72
  5. Step 5: Solve for x
    x = 152,338,590.72/14,165.96
  6. Step 6: Final answer
    x = 10,753.85

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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.