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Finding the Fourth Proportional to 34,538.12, 51,772.32 and 13,465

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Solution

The fourth proportional to 34,538.12, 51,772.32 and 13,465 is: 20,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.12 : 51,772.32 = 13,465 : x
  2. Step 2: Convert to fraction form
    34,538.12/51,772.32 = 13,465/x
  3. Step 3: Cross multiply
    34,538.12x = 51,772.32 × 13,465
  4. Step 4: Simplify right side
    34,538.12x = 697,114,288.80
  5. Step 5: Solve for x
    x = 697,114,288.80/34,538.12
  6. Step 6: Final answer
    x = 20,183.91

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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.