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Finding the Fourth Proportional to 16,289.66, 24,437.54 and 7,405.64

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Solution

The fourth proportional to 16,289.66, 24,437.54 and 7,405.64 is: 11,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.66 : 24,437.54 = 7,405.64 : x
  2. Step 2: Convert to fraction form
    16,289.66/24,437.54 = 7,405.64/x
  3. Step 3: Cross multiply
    16,289.66x = 24,437.54 × 7,405.64
  4. Step 4: Simplify right side
    16,289.66x = 180,975,623.73
  5. Step 5: Solve for x
    x = 180,975,623.73/16,289.66
  6. Step 6: Final answer
    x = 11,109.85

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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.