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Finding the Fourth Proportional to 19,226, 26,532 and 11,774

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Solution

The fourth proportional to 19,226, 26,532 and 11,774 is: 16,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226 : 26,532 = 11,774 : x
  2. Step 2: Convert to fraction form
    19,226/26,532 = 11,774/x
  3. Step 3: Cross multiply
    19,226x = 26,532 × 11,774
  4. Step 4: Simplify right side
    19,226x = 312,387,768
  5. Step 5: Solve for x
    x = 312,387,768/19,226
  6. Step 6: Final answer
    x = 16,248.19

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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.