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Finding the Fourth Proportional to 16,032.04, 24,052.92 and 7,709.70

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Solution

The fourth proportional to 16,032.04, 24,052.92 and 7,709.70 is: 11,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.04 : 24,052.92 = 7,709.70 : x
  2. Step 2: Convert to fraction form
    16,032.04/24,052.92 = 7,709.70/x
  3. Step 3: Cross multiply
    16,032.04x = 24,052.92 × 7,709.70
  4. Step 4: Simplify right side
    16,032.04x = 185,440,797.32
  5. Step 5: Solve for x
    x = 185,440,797.32/16,032.04
  6. Step 6: Final answer
    x = 11,566.89

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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.