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Finding the Fourth Proportional to 21,532.86, 29,706.21 and 13,144.50

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Solution

The fourth proportional to 21,532.86, 29,706.21 and 13,144.50 is: 18,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.86 : 29,706.21 = 13,144.50 : x
  2. Step 2: Convert to fraction form
    21,532.86/29,706.21 = 13,144.50/x
  3. Step 3: Cross multiply
    21,532.86x = 29,706.21 × 13,144.50
  4. Step 4: Simplify right side
    21,532.86x = 390,473,277.35
  5. Step 5: Solve for x
    x = 390,473,277.35/21,532.86
  6. Step 6: Final answer
    x = 18,133.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.