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Finding the Fourth Proportional to 16,178.66, 24,253.54 and 6,315.64

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Solution

The fourth proportional to 16,178.66, 24,253.54 and 6,315.64 is: 9,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.66 : 24,253.54 = 6,315.64 : x
  2. Step 2: Convert to fraction form
    16,178.66/24,253.54 = 6,315.64/x
  3. Step 3: Cross multiply
    16,178.66x = 24,253.54 × 6,315.64
  4. Step 4: Simplify right side
    16,178.66x = 153,176,627.37
  5. Step 5: Solve for x
    x = 153,176,627.37/16,178.66
  6. Step 6: Final answer
    x = 9,467.82

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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.