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Finding the Fourth Proportional to 16,567.16, 24,838.98 and 7,797.56

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Solution

The fourth proportional to 16,567.16, 24,838.98 and 7,797.56 is: 11,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.16 : 24,838.98 = 7,797.56 : x
  2. Step 2: Convert to fraction form
    16,567.16/24,838.98 = 7,797.56/x
  3. Step 3: Cross multiply
    16,567.16x = 24,838.98 × 7,797.56
  4. Step 4: Simplify right side
    16,567.16x = 193,683,436.89
  5. Step 5: Solve for x
    x = 193,683,436.89/16,567.16
  6. Step 6: Final answer
    x = 11,690.80

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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.