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Finding the Fourth Proportional to 13,689.94, 20,534.92 and 4,812.24

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Solution

The fourth proportional to 13,689.94, 20,534.92 and 4,812.24 is: 7,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.94 : 20,534.92 = 4,812.24 : x
  2. Step 2: Convert to fraction form
    13,689.94/20,534.92 = 4,812.24/x
  3. Step 3: Cross multiply
    13,689.94x = 20,534.92 × 4,812.24
  4. Step 4: Simplify right side
    13,689.94x = 98,818,939.36
  5. Step 5: Solve for x
    x = 98,818,939.36/13,689.94
  6. Step 6: Final answer
    x = 7,218.36

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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.