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Finding the Fourth Proportional to 21,938.84, 30,275.59 and 12,380.75

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Solution

The fourth proportional to 21,938.84, 30,275.59 and 12,380.75 is: 17,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938.84 : 30,275.59 = 12,380.75 : x
  2. Step 2: Convert to fraction form
    21,938.84/30,275.59 = 12,380.75/x
  3. Step 3: Cross multiply
    21,938.84x = 30,275.59 × 12,380.75
  4. Step 4: Simplify right side
    21,938.84x = 374,834,297.61
  5. Step 5: Solve for x
    x = 374,834,297.61/21,938.84
  6. Step 6: Final answer
    x = 17,085.42

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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.