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Finding the Fourth Proportional to 19,206, 26,504.28 and 10,374

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Solution

The fourth proportional to 19,206, 26,504.28 and 10,374 is: 14,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,206 : 26,504.28 = 10,374 : x
  2. Step 2: Convert to fraction form
    19,206/26,504.28 = 10,374/x
  3. Step 3: Cross multiply
    19,206x = 26,504.28 × 10,374
  4. Step 4: Simplify right side
    19,206x = 274,955,400.72
  5. Step 5: Solve for x
    x = 274,955,400.72/19,206
  6. Step 6: Final answer
    x = 14,316.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.