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Finding the Fourth Proportional to 17,898.24, 26,858.88 and 9,696

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Solution

The fourth proportional to 17,898.24, 26,858.88 and 9,696 is: 14,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,898.24 : 26,858.88 = 9,696 : x
  2. Step 2: Convert to fraction form
    17,898.24/26,858.88 = 9,696/x
  3. Step 3: Cross multiply
    17,898.24x = 26,858.88 × 9,696
  4. Step 4: Simplify right side
    17,898.24x = 260,423,700.48
  5. Step 5: Solve for x
    x = 260,423,700.48/17,898.24
  6. Step 6: Final answer
    x = 14,550.24

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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.