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Finding the Fourth Proportional to 16,077.65, 24,117.41 and 6,216.98

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Solution

The fourth proportional to 16,077.65, 24,117.41 and 6,216.98 is: 9,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.65 : 24,117.41 = 6,216.98 : x
  2. Step 2: Convert to fraction form
    16,077.65/24,117.41 = 6,216.98/x
  3. Step 3: Cross multiply
    16,077.65x = 24,117.41 × 6,216.98
  4. Step 4: Simplify right side
    16,077.65x = 149,937,303.95
  5. Step 5: Solve for x
    x = 149,937,303.95/16,077.65
  6. Step 6: Final answer
    x = 9,325.83

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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.