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Finding the Fourth Proportional to 22,433.25, 30,957.89 and 13,007.28

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Solution

The fourth proportional to 22,433.25, 30,957.89 and 13,007.28 is: 17,950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.25 : 30,957.89 = 13,007.28 : x
  2. Step 2: Convert to fraction form
    22,433.25/30,957.89 = 13,007.28/x
  3. Step 3: Cross multiply
    22,433.25x = 30,957.89 × 13,007.28
  4. Step 4: Simplify right side
    22,433.25x = 402,677,878.40
  5. Step 5: Solve for x
    x = 402,677,878.40/22,433.25
  6. Step 6: Final answer
    x = 17,950.05

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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.