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Finding the Fourth Proportional to 13,828.59, 20,695.50 and 8,561.57

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Solution

The fourth proportional to 13,828.59, 20,695.50 and 8,561.57 is: 12,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.59 : 20,695.50 = 8,561.57 : x
  2. Step 2: Convert to fraction form
    13,828.59/20,695.50 = 8,561.57/x
  3. Step 3: Cross multiply
    13,828.59x = 20,695.50 × 8,561.57
  4. Step 4: Simplify right side
    13,828.59x = 177,185,868.46
  5. Step 5: Solve for x
    x = 177,185,868.46/13,828.59
  6. Step 6: Final answer
    x = 12,813.01

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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.