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Finding the Fourth Proportional to 22,583.67, 31,162.93 and 12,509.61

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Solution

The fourth proportional to 22,583.67, 31,162.93 and 12,509.61 is: 17,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,583.67 : 31,162.93 = 12,509.61 : x
  2. Step 2: Convert to fraction form
    22,583.67/31,162.93 = 12,509.61/x
  3. Step 3: Cross multiply
    22,583.67x = 31,162.93 × 12,509.61
  4. Step 4: Simplify right side
    22,583.67x = 389,835,952.62
  5. Step 5: Solve for x
    x = 389,835,952.62/22,583.67
  6. Step 6: Final answer
    x = 17,261.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.