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Finding the Fourth Proportional to 16,406.85, 24,580.56 and 7,529.59

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Solution

The fourth proportional to 16,406.85, 24,580.56 and 7,529.59 is: 11,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.85 : 24,580.56 = 7,529.59 : x
  2. Step 2: Convert to fraction form
    16,406.85/24,580.56 = 7,529.59/x
  3. Step 3: Cross multiply
    16,406.85x = 24,580.56 × 7,529.59
  4. Step 4: Simplify right side
    16,406.85x = 185,081,597.73
  5. Step 5: Solve for x
    x = 185,081,597.73/16,406.85
  6. Step 6: Final answer
    x = 11,280.75

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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.