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Finding the Fourth Proportional to 17,184.52, 25,756.80 and 14,069.80

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Solution

The fourth proportional to 17,184.52, 25,756.80 and 14,069.80 is: 21,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.52 : 25,756.80 = 14,069.80 : x
  2. Step 2: Convert to fraction form
    17,184.52/25,756.80 = 14,069.80/x
  3. Step 3: Cross multiply
    17,184.52x = 25,756.80 × 14,069.80
  4. Step 4: Simplify right side
    17,184.52x = 362,393,024.64
  5. Step 5: Solve for x
    x = 362,393,024.64/17,184.52
  6. Step 6: Final answer
    x = 21,088.34

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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.