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Finding the Fourth Proportional to 16,149.76, 24,235.76 and 6,289.12

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Solution

The fourth proportional to 16,149.76, 24,235.76 and 6,289.12 is: 9,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.76 : 24,235.76 = 6,289.12 : x
  2. Step 2: Convert to fraction form
    16,149.76/24,235.76 = 6,289.12/x
  3. Step 3: Cross multiply
    16,149.76x = 24,235.76 × 6,289.12
  4. Step 4: Simplify right side
    16,149.76x = 152,421,602.93
  5. Step 5: Solve for x
    x = 152,421,602.93/16,149.76
  6. Step 6: Final answer
    x = 9,438.01

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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.