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Finding the Fourth Proportional to 23,517.51, 32,452.70 and 12,907.06

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Solution

The fourth proportional to 23,517.51, 32,452.70 and 12,907.06 is: 17,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.51 : 32,452.70 = 12,907.06 : x
  2. Step 2: Convert to fraction form
    23,517.51/32,452.70 = 12,907.06/x
  3. Step 3: Cross multiply
    23,517.51x = 32,452.70 × 12,907.06
  4. Step 4: Simplify right side
    23,517.51x = 418,869,055.54
  5. Step 5: Solve for x
    x = 418,869,055.54/23,517.51
  6. Step 6: Final answer
    x = 17,810.95

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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.