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Finding the Fourth Proportional to 16,265.40, 24,381.33 and 7,935.12

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Solution

The fourth proportional to 16,265.40, 24,381.33 and 7,935.12 is: 11,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.40 : 24,381.33 = 7,935.12 : x
  2. Step 2: Convert to fraction form
    16,265.40/24,381.33 = 7,935.12/x
  3. Step 3: Cross multiply
    16,265.40x = 24,381.33 × 7,935.12
  4. Step 4: Simplify right side
    16,265.40x = 193,468,779.31
  5. Step 5: Solve for x
    x = 193,468,779.31/16,265.40
  6. Step 6: Final answer
    x = 11,894.50

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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.