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Finding the Fourth Proportional to 16,534.65, 22,816.63 and 9,362.50

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Solution

The fourth proportional to 16,534.65, 22,816.63 and 9,362.50 is: 12,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.65 : 22,816.63 = 9,362.50 : x
  2. Step 2: Convert to fraction form
    16,534.65/22,816.63 = 9,362.50/x
  3. Step 3: Cross multiply
    16,534.65x = 22,816.63 × 9,362.50
  4. Step 4: Simplify right side
    16,534.65x = 213,620,698.38
  5. Step 5: Solve for x
    x = 213,620,698.38/16,534.65
  6. Step 6: Final answer
    x = 12,919.58

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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.