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Finding the Fourth Proportional to 16,447.84, 24,632.57 and 10,506.34

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Solution

The fourth proportional to 16,447.84, 24,632.57 and 10,506.34 is: 15,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.84 : 24,632.57 = 10,506.34 : x
  2. Step 2: Convert to fraction form
    16,447.84/24,632.57 = 10,506.34/x
  3. Step 3: Cross multiply
    16,447.84x = 24,632.57 × 10,506.34
  4. Step 4: Simplify right side
    16,447.84x = 258,798,212.55
  5. Step 5: Solve for x
    x = 258,798,212.55/16,447.84
  6. Step 6: Final answer
    x = 15,734.48

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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.