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Finding the Fourth Proportional to 16,485.76, 22,737.76 and 11,449.92

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Solution

The fourth proportional to 16,485.76, 22,737.76 and 11,449.92 is: 15,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.76 : 22,737.76 = 11,449.92 : x
  2. Step 2: Convert to fraction form
    16,485.76/22,737.76 = 11,449.92/x
  3. Step 3: Cross multiply
    16,485.76x = 22,737.76 × 11,449.92
  4. Step 4: Simplify right side
    16,485.76x = 260,345,532.98
  5. Step 5: Solve for x
    x = 260,345,532.98/16,485.76
  6. Step 6: Final answer
    x = 15,792.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.