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Finding the Fourth Proportional to 22,424.34, 30,946.92 and 12,864.16

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Solution

The fourth proportional to 22,424.34, 30,946.92 and 12,864.16 is: 17,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.34 : 30,946.92 = 12,864.16 : x
  2. Step 2: Convert to fraction form
    22,424.34/30,946.92 = 12,864.16/x
  3. Step 3: Cross multiply
    22,424.34x = 30,946.92 × 12,864.16
  4. Step 4: Simplify right side
    22,424.34x = 398,106,130.39
  5. Step 5: Solve for x
    x = 398,106,130.39/22,424.34
  6. Step 6: Final answer
    x = 17,753.31

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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.