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Finding the Fourth Proportional to 21,981.57, 30,334.59 and 13,033.50

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Solution

The fourth proportional to 21,981.57, 30,334.59 and 13,033.50 is: 17,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981.57 : 30,334.59 = 13,033.50 : x
  2. Step 2: Convert to fraction form
    21,981.57/30,334.59 = 13,033.50/x
  3. Step 3: Cross multiply
    21,981.57x = 30,334.59 × 13,033.50
  4. Step 4: Simplify right side
    21,981.57x = 395,365,878.77
  5. Step 5: Solve for x
    x = 395,365,878.77/21,981.57
  6. Step 6: Final answer
    x = 17,986.24

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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.