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Finding the Fourth Proportional to 16,129.71, 24,203.90 and 6,768.89

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Solution

The fourth proportional to 16,129.71, 24,203.90 and 6,768.89 is: 10,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.71 : 24,203.90 = 6,768.89 : x
  2. Step 2: Convert to fraction form
    16,129.71/24,203.90 = 6,768.89/x
  3. Step 3: Cross multiply
    16,129.71x = 24,203.90 × 6,768.89
  4. Step 4: Simplify right side
    16,129.71x = 163,833,381.81
  5. Step 5: Solve for x
    x = 163,833,381.81/16,129.71
  6. Step 6: Final answer
    x = 10,157.24

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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.