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Finding the Fourth Proportional to 16,476.75, 22,737.92 and 9,403.02

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Solution

The fourth proportional to 16,476.75, 22,737.92 and 9,403.02 is: 12,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.75 : 22,737.92 = 9,403.02 : x
  2. Step 2: Convert to fraction form
    16,476.75/22,737.92 = 9,403.02/x
  3. Step 3: Cross multiply
    16,476.75x = 22,737.92 × 9,403.02
  4. Step 4: Simplify right side
    16,476.75x = 213,805,069.50
  5. Step 5: Solve for x
    x = 213,805,069.50/16,476.75
  6. Step 6: Final answer
    x = 12,976.17

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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.