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Finding the Fourth Proportional to 16,271.84, 24,421.80 and 7,958

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Solution

The fourth proportional to 16,271.84, 24,421.80 and 7,958 is: 11,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,271.84 : 24,421.80 = 7,958 : x
  2. Step 2: Convert to fraction form
    16,271.84/24,421.80 = 7,958/x
  3. Step 3: Cross multiply
    16,271.84x = 24,421.80 × 7,958
  4. Step 4: Simplify right side
    16,271.84x = 194,348,684.40
  5. Step 5: Solve for x
    x = 194,348,684.40/16,271.84
  6. Step 6: Final answer
    x = 11,943.87

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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.