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Finding the Fourth Proportional to 21,390.84, 32,100.23 and 9,704.16

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Solution

The fourth proportional to 21,390.84, 32,100.23 and 9,704.16 is: 14,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.84 : 32,100.23 = 9,704.16 : x
  2. Step 2: Convert to fraction form
    21,390.84/32,100.23 = 9,704.16/x
  3. Step 3: Cross multiply
    21,390.84x = 32,100.23 × 9,704.16
  4. Step 4: Simplify right side
    21,390.84x = 311,505,792.22
  5. Step 5: Solve for x
    x = 311,505,792.22/21,390.84
  6. Step 6: Final answer
    x = 14,562.58

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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.