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Finding the Fourth Proportional to 19,250, 26,565 and 10,418

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Solution

The fourth proportional to 19,250, 26,565 and 10,418 is: 14,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,250 : 26,565 = 10,418 : x
  2. Step 2: Convert to fraction form
    19,250/26,565 = 10,418/x
  3. Step 3: Cross multiply
    19,250x = 26,565 × 10,418
  4. Step 4: Simplify right side
    19,250x = 276,754,170
  5. Step 5: Solve for x
    x = 276,754,170/19,250
  6. Step 6: Final answer
    x = 14,376.84

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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.