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Finding the Fourth Proportional to 17,722.94, 24,433.16 and 12,678.35

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Solution

The fourth proportional to 17,722.94, 24,433.16 and 12,678.35 is: 17,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.94 : 24,433.16 = 12,678.35 : x
  2. Step 2: Convert to fraction form
    17,722.94/24,433.16 = 12,678.35/x
  3. Step 3: Cross multiply
    17,722.94x = 24,433.16 × 12,678.35
  4. Step 4: Simplify right side
    17,722.94x = 309,771,968.53
  5. Step 5: Solve for x
    x = 309,771,968.53/17,722.94
  6. Step 6: Final answer
    x = 17,478.59

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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.