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Finding the Fourth Proportional to 13,685.84, 20,528.75 and 4,920.75

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Solution

The fourth proportional to 13,685.84, 20,528.75 and 4,920.75 is: 7,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.84 : 20,528.75 = 4,920.75 : x
  2. Step 2: Convert to fraction form
    13,685.84/20,528.75 = 4,920.75/x
  3. Step 3: Cross multiply
    13,685.84x = 20,528.75 × 4,920.75
  4. Step 4: Simplify right side
    13,685.84x = 101,016,865.78
  5. Step 5: Solve for x
    x = 101,016,865.78/13,685.84
  6. Step 6: Final answer
    x = 7,381.13

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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.