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Finding the Fourth Proportional to 23,653.98, 35,487 and 8,862.96

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Solution

The fourth proportional to 23,653.98, 35,487 and 8,862.96 is: 13,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.98 : 35,487 = 8,862.96 : x
  2. Step 2: Convert to fraction form
    23,653.98/35,487 = 8,862.96/x
  3. Step 3: Cross multiply
    23,653.98x = 35,487 × 8,862.96
  4. Step 4: Simplify right side
    23,653.98x = 314,519,861.52
  5. Step 5: Solve for x
    x = 314,519,861.52/23,653.98
  6. Step 6: Final answer
    x = 13,296.70

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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.