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Finding the Fourth Proportional to 16,313.84, 24,474.80 and 4,627.16

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Solution

The fourth proportional to 16,313.84, 24,474.80 and 4,627.16 is: 6,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.84 : 24,474.80 = 4,627.16 : x
  2. Step 2: Convert to fraction form
    16,313.84/24,474.80 = 4,627.16/x
  3. Step 3: Cross multiply
    16,313.84x = 24,474.80 × 4,627.16
  4. Step 4: Simplify right side
    16,313.84x = 113,248,815.57
  5. Step 5: Solve for x
    x = 113,248,815.57/16,313.84
  6. Step 6: Final answer
    x = 6,941.89

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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.