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Finding the Fourth Proportional to 16,744.94, 25,113.16 and 6,209.16

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Solution

The fourth proportional to 16,744.94, 25,113.16 and 6,209.16 is: 9,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.94 : 25,113.16 = 6,209.16 : x
  2. Step 2: Convert to fraction form
    16,744.94/25,113.16 = 6,209.16/x
  3. Step 3: Cross multiply
    16,744.94x = 25,113.16 × 6,209.16
  4. Step 4: Simplify right side
    16,744.94x = 155,931,628.55
  5. Step 5: Solve for x
    x = 155,931,628.55/16,744.94
  6. Step 6: Final answer
    x = 9,312.16

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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.