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Finding the Fourth Proportional to 22,424.94, 30,946.27 and 12,353.16

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Solution

The fourth proportional to 22,424.94, 30,946.27 and 12,353.16 is: 17,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.94 : 30,946.27 = 12,353.16 : x
  2. Step 2: Convert to fraction form
    22,424.94/30,946.27 = 12,353.16/x
  3. Step 3: Cross multiply
    22,424.94x = 30,946.27 × 12,353.16
  4. Step 4: Simplify right side
    22,424.94x = 382,284,069.98
  5. Step 5: Solve for x
    x = 382,284,069.98/22,424.94
  6. Step 6: Final answer
    x = 17,047.27

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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.