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Finding the Fourth Proportional to 17,089.94, 25,656.78 and 14,509.28

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Solution

The fourth proportional to 17,089.94, 25,656.78 and 14,509.28 is: 21,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.94 : 25,656.78 = 14,509.28 : x
  2. Step 2: Convert to fraction form
    17,089.94/25,656.78 = 14,509.28/x
  3. Step 3: Cross multiply
    17,089.94x = 25,656.78 × 14,509.28
  4. Step 4: Simplify right side
    17,089.94x = 372,261,404.92
  5. Step 5: Solve for x
    x = 372,261,404.92/17,089.94
  6. Step 6: Final answer
    x = 21,782.49

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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.