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Finding the Fourth Proportional to 19,246, 26,559.48 and 10,414

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Solution

The fourth proportional to 19,246, 26,559.48 and 10,414 is: 14,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,246 : 26,559.48 = 10,414 : x
  2. Step 2: Convert to fraction form
    19,246/26,559.48 = 10,414/x
  3. Step 3: Cross multiply
    19,246x = 26,559.48 × 10,414
  4. Step 4: Simplify right side
    19,246x = 276,590,424.72
  5. Step 5: Solve for x
    x = 276,590,424.72/19,246
  6. Step 6: Final answer
    x = 14,371.32

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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.