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Finding the Fourth Proportional to 22,952.18, 31,669.74 and 15,409.46

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Solution

The fourth proportional to 22,952.18, 31,669.74 and 15,409.46 is: 21,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.18 : 31,669.74 = 15,409.46 : x
  2. Step 2: Convert to fraction form
    22,952.18/31,669.74 = 15,409.46/x
  3. Step 3: Cross multiply
    22,952.18x = 31,669.74 × 15,409.46
  4. Step 4: Simplify right side
    22,952.18x = 488,013,433.39
  5. Step 5: Solve for x
    x = 488,013,433.39/22,952.18
  6. Step 6: Final answer
    x = 21,262.19

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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.