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Finding the Fourth Proportional to 19,653, 29,520.15 and 15,909.18

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Solution

The fourth proportional to 19,653, 29,520.15 and 15,909.18 is: 23,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653 : 29,520.15 = 15,909.18 : x
  2. Step 2: Convert to fraction form
    19,653/29,520.15 = 15,909.18/x
  3. Step 3: Cross multiply
    19,653x = 29,520.15 × 15,909.18
  4. Step 4: Simplify right side
    19,653x = 469,641,379.98
  5. Step 5: Solve for x
    x = 469,641,379.98/19,653
  6. Step 6: Final answer
    x = 23,896.68

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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.