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Finding the Fourth Proportional to 16,245.68, 24,353.16 and 5,294

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Solution

The fourth proportional to 16,245.68, 24,353.16 and 5,294 is: 7,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,245.68 : 24,353.16 = 5,294 : x
  2. Step 2: Convert to fraction form
    16,245.68/24,353.16 = 5,294/x
  3. Step 3: Cross multiply
    16,245.68x = 24,353.16 × 5,294
  4. Step 4: Simplify right side
    16,245.68x = 128,925,629.04
  5. Step 5: Solve for x
    x = 128,925,629.04/16,245.68
  6. Step 6: Final answer
    x = 7,935.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.