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Finding the Fourth Proportional to 22,509.82, 31,069.60 and 12,950.80

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Solution

The fourth proportional to 22,509.82, 31,069.60 and 12,950.80 is: 17,875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.82 : 31,069.60 = 12,950.80 : x
  2. Step 2: Convert to fraction form
    22,509.82/31,069.60 = 12,950.80/x
  3. Step 3: Cross multiply
    22,509.82x = 31,069.60 × 12,950.80
  4. Step 4: Simplify right side
    22,509.82x = 402,376,175.68
  5. Step 5: Solve for x
    x = 402,376,175.68/22,509.82
  6. Step 6: Final answer
    x = 17,875.58

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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.