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Finding the Fourth Proportional to 19,751.28, 29,592.36 and 11,526

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Solution

The fourth proportional to 19,751.28, 29,592.36 and 11,526 is: 17,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,751.28 : 29,592.36 = 11,526 : x
  2. Step 2: Convert to fraction form
    19,751.28/29,592.36 = 11,526/x
  3. Step 3: Cross multiply
    19,751.28x = 29,592.36 × 11,526
  4. Step 4: Simplify right side
    19,751.28x = 341,081,541.36
  5. Step 5: Solve for x
    x = 341,081,541.36/19,751.28
  6. Step 6: Final answer
    x = 17,268.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.