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Finding the Fourth Proportional to 23,633.72, 35,457.15 and 10,307.88

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Solution

The fourth proportional to 23,633.72, 35,457.15 and 10,307.88 is: 15,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.72 : 35,457.15 = 10,307.88 : x
  2. Step 2: Convert to fraction form
    23,633.72/35,457.15 = 10,307.88/x
  3. Step 3: Cross multiply
    23,633.72x = 35,457.15 × 10,307.88
  4. Step 4: Simplify right side
    23,633.72x = 365,487,870.06
  5. Step 5: Solve for x
    x = 365,487,870.06/23,633.72
  6. Step 6: Final answer
    x = 15,464.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.