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Finding the Fourth Proportional to 21,400.19, 32,100.39 and 7,549.19

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Solution

The fourth proportional to 21,400.19, 32,100.39 and 7,549.19 is: 11,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.19 : 32,100.39 = 7,549.19 : x
  2. Step 2: Convert to fraction form
    21,400.19/32,100.39 = 7,549.19/x
  3. Step 3: Cross multiply
    21,400.19x = 32,100.39 × 7,549.19
  4. Step 4: Simplify right side
    21,400.19x = 242,331,905.44
  5. Step 5: Solve for x
    x = 242,331,905.44/21,400.19
  6. Step 6: Final answer
    x = 11,323.82

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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.