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Finding the Fourth Proportional to 22,762.14, 34,153.77 and 9,617.58

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Solution

The fourth proportional to 22,762.14, 34,153.77 and 9,617.58 is: 14,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.14 : 34,153.77 = 9,617.58 : x
  2. Step 2: Convert to fraction form
    22,762.14/34,153.77 = 9,617.58/x
  3. Step 3: Cross multiply
    22,762.14x = 34,153.77 × 9,617.58
  4. Step 4: Simplify right side
    22,762.14x = 328,476,615.28
  5. Step 5: Solve for x
    x = 328,476,615.28/22,762.14
  6. Step 6: Final answer
    x = 14,430.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.