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Finding the Fourth Proportional to 13,683.84, 20,526.52 and 4,324.16

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Solution

The fourth proportional to 13,683.84, 20,526.52 and 4,324.16 is: 6,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.84 : 20,526.52 = 4,324.16 : x
  2. Step 2: Convert to fraction form
    13,683.84/20,526.52 = 4,324.16/x
  3. Step 3: Cross multiply
    13,683.84x = 20,526.52 × 4,324.16
  4. Step 4: Simplify right side
    13,683.84x = 88,759,956.72
  5. Step 5: Solve for x
    x = 88,759,956.72/13,683.84
  6. Step 6: Final answer
    x = 6,486.48

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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.