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Finding the Fourth Proportional to 17,625.40, 26,457.30 and 9,849.40

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Solution

The fourth proportional to 17,625.40, 26,457.30 and 9,849.40 is: 14,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.40 : 26,457.30 = 9,849.40 : x
  2. Step 2: Convert to fraction form
    17,625.40/26,457.30 = 9,849.40/x
  3. Step 3: Cross multiply
    17,625.40x = 26,457.30 × 9,849.40
  4. Step 4: Simplify right side
    17,625.40x = 260,588,530.62
  5. Step 5: Solve for x
    x = 260,588,530.62/17,625.40
  6. Step 6: Final answer
    x = 14,784.83

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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.