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Finding the Fourth Proportional to 21,377.68, 29,493.32 and 13,417

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Solution

The fourth proportional to 21,377.68, 29,493.32 and 13,417 is: 18,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377.68 : 29,493.32 = 13,417 : x
  2. Step 2: Convert to fraction form
    21,377.68/29,493.32 = 13,417/x
  3. Step 3: Cross multiply
    21,377.68x = 29,493.32 × 13,417
  4. Step 4: Simplify right side
    21,377.68x = 395,711,874.44
  5. Step 5: Solve for x
    x = 395,711,874.44/21,377.68
  6. Step 6: Final answer
    x = 18,510.52

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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.