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Finding the Fourth Proportional to 16,193.58, 24,284.01 and 7,871.16

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Solution

The fourth proportional to 16,193.58, 24,284.01 and 7,871.16 is: 11,803.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.58 : 24,284.01 = 7,871.16 : x
  2. Step 2: Convert to fraction form
    16,193.58/24,284.01 = 7,871.16/x
  3. Step 3: Cross multiply
    16,193.58x = 24,284.01 × 7,871.16
  4. Step 4: Simplify right side
    16,193.58x = 191,143,328.15
  5. Step 5: Solve for x
    x = 191,143,328.15/16,193.58
  6. Step 6: Final answer
    x = 11,803.65

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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.