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Finding the Fourth Proportional to 16,071.19, 24,122.37 and 7,757.06

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Solution

The fourth proportional to 16,071.19, 24,122.37 and 7,757.06 is: 11,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.19 : 24,122.37 = 7,757.06 : x
  2. Step 2: Convert to fraction form
    16,071.19/24,122.37 = 7,757.06/x
  3. Step 3: Cross multiply
    16,071.19x = 24,122.37 × 7,757.06
  4. Step 4: Simplify right side
    16,071.19x = 187,118,671.96
  5. Step 5: Solve for x
    x = 187,118,671.96/16,071.19
  6. Step 6: Final answer
    x = 11,643.11

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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.