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Finding the Fourth Proportional to 16,356.50, 22,572 and 8,904.50

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Solution

The fourth proportional to 16,356.50, 22,572 and 8,904.50 is: 12,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.50 : 22,572 = 8,904.50 : x
  2. Step 2: Convert to fraction form
    16,356.50/22,572 = 8,904.50/x
  3. Step 3: Cross multiply
    16,356.50x = 22,572 × 8,904.50
  4. Step 4: Simplify right side
    16,356.50x = 200,992,374
  5. Step 5: Solve for x
    x = 200,992,374/16,356.50
  6. Step 6: Final answer
    x = 12,288.23

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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.