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Finding the Fourth Proportional to 23,804.50, 32,850.21 and 13,195.74

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Solution

The fourth proportional to 23,804.50, 32,850.21 and 13,195.74 is: 18,210.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.50 : 32,850.21 = 13,195.74 : x
  2. Step 2: Convert to fraction form
    23,804.50/32,850.21 = 13,195.74/x
  3. Step 3: Cross multiply
    23,804.50x = 32,850.21 × 13,195.74
  4. Step 4: Simplify right side
    23,804.50x = 433,482,830.11
  5. Step 5: Solve for x
    x = 433,482,830.11/23,804.50
  6. Step 6: Final answer
    x = 18,210.12

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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.