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Finding the Fourth Proportional to 14,526, 21,792.65 and 4,137.75

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Solution

The fourth proportional to 14,526, 21,792.65 and 4,137.75 is: 6,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526 : 21,792.65 = 4,137.75 : x
  2. Step 2: Convert to fraction form
    14,526/21,792.65 = 4,137.75/x
  3. Step 3: Cross multiply
    14,526x = 21,792.65 × 4,137.75
  4. Step 4: Simplify right side
    14,526x = 90,172,516.85
  5. Step 5: Solve for x
    x = 90,172,516.85/14,526
  6. Step 6: Final answer
    x = 6,207.66

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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.