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Finding the Fourth Proportional to 21,189.87, 31,784.80 and 5,607.50

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Solution

The fourth proportional to 21,189.87, 31,784.80 and 5,607.50 is: 8,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.87 : 31,784.80 = 5,607.50 : x
  2. Step 2: Convert to fraction form
    21,189.87/31,784.80 = 5,607.50/x
  3. Step 3: Cross multiply
    21,189.87x = 31,784.80 × 5,607.50
  4. Step 4: Simplify right side
    21,189.87x = 178,233,103.57
  5. Step 5: Solve for x
    x = 178,233,103.57/21,189.87
  6. Step 6: Final answer
    x = 8,411.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.