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Finding the Fourth Proportional to 25,521.83, 38,259.17 and 13,683.84

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Solution

The fourth proportional to 25,521.83, 38,259.17 and 13,683.84 is: 20,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,521.83 : 38,259.17 = 13,683.84 : x
  2. Step 2: Convert to fraction form
    25,521.83/38,259.17 = 13,683.84/x
  3. Step 3: Cross multiply
    25,521.83x = 38,259.17 × 13,683.84
  4. Step 4: Simplify right side
    25,521.83x = 523,532,500.07
  5. Step 5: Solve for x
    x = 523,532,500.07/25,521.83
  6. Step 6: Final answer
    x = 20,513.12

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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.