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Finding the Fourth Proportional to 16,064.90, 24,087.06 and 7,728.32

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Solution

The fourth proportional to 16,064.90, 24,087.06 and 7,728.32 is: 11,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.90 : 24,087.06 = 7,728.32 : x
  2. Step 2: Convert to fraction form
    16,064.90/24,087.06 = 7,728.32/x
  3. Step 3: Cross multiply
    16,064.90x = 24,087.06 × 7,728.32
  4. Step 4: Simplify right side
    16,064.90x = 186,152,507.54
  5. Step 5: Solve for x
    x = 186,152,507.54/16,064.90
  6. Step 6: Final answer
    x = 11,587.53

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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.