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Finding the Fourth Proportional to 20,423.84, 30,497.41 and 16,216.64

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Solution

The fourth proportional to 20,423.84, 30,497.41 and 16,216.64 is: 24,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,423.84 : 30,497.41 = 16,216.64 : x
  2. Step 2: Convert to fraction form
    20,423.84/30,497.41 = 16,216.64/x
  3. Step 3: Cross multiply
    20,423.84x = 30,497.41 × 16,216.64
  4. Step 4: Simplify right side
    20,423.84x = 494,565,518.90
  5. Step 5: Solve for x
    x = 494,565,518.90/20,423.84
  6. Step 6: Final answer
    x = 24,215.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.