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Finding the Fourth Proportional to 18,423.70, 25,424.78 and 10,466

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Solution

The fourth proportional to 18,423.70, 25,424.78 and 10,466 is: 14,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,423.70 : 25,424.78 = 10,466 : x
  2. Step 2: Convert to fraction form
    18,423.70/25,424.78 = 10,466/x
  3. Step 3: Cross multiply
    18,423.70x = 25,424.78 × 10,466
  4. Step 4: Simplify right side
    18,423.70x = 266,095,747.48
  5. Step 5: Solve for x
    x = 266,095,747.48/18,423.70
  6. Step 6: Final answer
    x = 14,443.12

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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.