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Finding the Fourth Proportional to 16,244.56, 22,409.58 and 9,526

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Solution

The fourth proportional to 16,244.56, 22,409.58 and 9,526 is: 13,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,244.56 : 22,409.58 = 9,526 : x
  2. Step 2: Convert to fraction form
    16,244.56/22,409.58 = 9,526/x
  3. Step 3: Cross multiply
    16,244.56x = 22,409.58 × 9,526
  4. Step 4: Simplify right side
    16,244.56x = 213,473,659.08
  5. Step 5: Solve for x
    x = 213,473,659.08/16,244.56
  6. Step 6: Final answer
    x = 13,141.24

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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.