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Finding the Fourth Proportional to 19,263, 26,583.10 and 10,431

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Solution

The fourth proportional to 19,263, 26,583.10 and 10,431 is: 14,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,263 : 26,583.10 = 10,431 : x
  2. Step 2: Convert to fraction form
    19,263/26,583.10 = 10,431/x
  3. Step 3: Cross multiply
    19,263x = 26,583.10 × 10,431
  4. Step 4: Simplify right side
    19,263x = 277,288,316.10
  5. Step 5: Solve for x
    x = 277,288,316.10/19,263
  6. Step 6: Final answer
    x = 14,394.87

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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.