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Finding the Fourth Proportional to 22,409.24, 30,871.62 and 15,683

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Solution

The fourth proportional to 22,409.24, 30,871.62 and 15,683 is: 21,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,409.24 : 30,871.62 = 15,683 : x
  2. Step 2: Convert to fraction form
    22,409.24/30,871.62 = 15,683/x
  3. Step 3: Cross multiply
    22,409.24x = 30,871.62 × 15,683
  4. Step 4: Simplify right side
    22,409.24x = 484,159,616.46
  5. Step 5: Solve for x
    x = 484,159,616.46/22,409.24
  6. Step 6: Final answer
    x = 21,605.36

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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.