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Finding the Fourth Proportional to 17,605.18, 26,417.49 and 7,214.50

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Solution

The fourth proportional to 17,605.18, 26,417.49 and 7,214.50 is: 10,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.18 : 26,417.49 = 7,214.50 : x
  2. Step 2: Convert to fraction form
    17,605.18/26,417.49 = 7,214.50/x
  3. Step 3: Cross multiply
    17,605.18x = 26,417.49 × 7,214.50
  4. Step 4: Simplify right side
    17,605.18x = 190,588,981.61
  5. Step 5: Solve for x
    x = 190,588,981.61/17,605.18
  6. Step 6: Final answer
    x = 10,825.73

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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.