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Finding the Fourth Proportional to 16,124.64, 22,250.07 and 9,409.50

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Solution

The fourth proportional to 16,124.64, 22,250.07 and 9,409.50 is: 12,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.64 : 22,250.07 = 9,409.50 : x
  2. Step 2: Convert to fraction form
    16,124.64/22,250.07 = 9,409.50/x
  3. Step 3: Cross multiply
    16,124.64x = 22,250.07 × 9,409.50
  4. Step 4: Simplify right side
    16,124.64x = 209,362,033.67
  5. Step 5: Solve for x
    x = 209,362,033.67/16,124.64
  6. Step 6: Final answer
    x = 12,983.98

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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.