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Finding the Fourth Proportional to 19,213, 26,513.94 and 10,381

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Solution

The fourth proportional to 19,213, 26,513.94 and 10,381 is: 14,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213 : 26,513.94 = 10,381 : x
  2. Step 2: Convert to fraction form
    19,213/26,513.94 = 10,381/x
  3. Step 3: Cross multiply
    19,213x = 26,513.94 × 10,381
  4. Step 4: Simplify right side
    19,213x = 275,241,211.14
  5. Step 5: Solve for x
    x = 275,241,211.14/19,213
  6. Step 6: Final answer
    x = 14,325.78

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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.