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Finding the Fourth Proportional to 15,675.12, 23,524.11 and 11,988

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Solution

The fourth proportional to 15,675.12, 23,524.11 and 11,988 is: 17,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.12 : 23,524.11 = 11,988 : x
  2. Step 2: Convert to fraction form
    15,675.12/23,524.11 = 11,988/x
  3. Step 3: Cross multiply
    15,675.12x = 23,524.11 × 11,988
  4. Step 4: Simplify right side
    15,675.12x = 282,007,030.68
  5. Step 5: Solve for x
    x = 282,007,030.68/15,675.12
  6. Step 6: Final answer
    x = 17,990.74

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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.