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Finding the Fourth Proportional to 13,454.94, 20,185.11 and 4,687.50

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Solution

The fourth proportional to 13,454.94, 20,185.11 and 4,687.50 is: 7,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.94 : 20,185.11 = 4,687.50 : x
  2. Step 2: Convert to fraction form
    13,454.94/20,185.11 = 4,687.50/x
  3. Step 3: Cross multiply
    13,454.94x = 20,185.11 × 4,687.50
  4. Step 4: Simplify right side
    13,454.94x = 94,617,703.13
  5. Step 5: Solve for x
    x = 94,617,703.13/13,454.94
  6. Step 6: Final answer
    x = 7,032.19

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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.