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Finding the Fourth Proportional to 17,956.24, 24,779.64 and 10,000

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Solution

The fourth proportional to 17,956.24, 24,779.64 and 10,000 is: 13,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956.24 : 24,779.64 = 10,000 : x
  2. Step 2: Convert to fraction form
    17,956.24/24,779.64 = 10,000/x
  3. Step 3: Cross multiply
    17,956.24x = 24,779.64 × 10,000
  4. Step 4: Simplify right side
    17,956.24x = 247,796,400
  5. Step 5: Solve for x
    x = 247,796,400/17,956.24
  6. Step 6: Final answer
    x = 13,800.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.