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Finding the Fourth Proportional to 17,088, 25,619.52 and 11,527.52

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Solution

The fourth proportional to 17,088, 25,619.52 and 11,527.52 is: 17,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,088 : 25,619.52 = 11,527.52 : x
  2. Step 2: Convert to fraction form
    17,088/25,619.52 = 11,527.52/x
  3. Step 3: Cross multiply
    17,088x = 25,619.52 × 11,527.52
  4. Step 4: Simplify right side
    17,088x = 295,329,529.19
  5. Step 5: Solve for x
    x = 295,329,529.19/17,088
  6. Step 6: Final answer
    x = 17,282.86

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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.