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Finding the Fourth Proportional to 16,497.84, 24,722.46 and 12,094.68

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Solution

The fourth proportional to 16,497.84, 24,722.46 and 12,094.68 is: 18,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.84 : 24,722.46 = 12,094.68 : x
  2. Step 2: Convert to fraction form
    16,497.84/24,722.46 = 12,094.68/x
  3. Step 3: Cross multiply
    16,497.84x = 24,722.46 × 12,094.68
  4. Step 4: Simplify right side
    16,497.84x = 299,010,242.51
  5. Step 5: Solve for x
    x = 299,010,242.51/16,497.84
  6. Step 6: Final answer
    x = 18,124.21

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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.