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Finding the Fourth Proportional to 15,800.96, 23,709.66 and 6,447.88

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Solution

The fourth proportional to 15,800.96, 23,709.66 and 6,447.88 is: 9,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.96 : 23,709.66 = 6,447.88 : x
  2. Step 2: Convert to fraction form
    15,800.96/23,709.66 = 6,447.88/x
  3. Step 3: Cross multiply
    15,800.96x = 23,709.66 × 6,447.88
  4. Step 4: Simplify right side
    15,800.96x = 152,877,042.52
  5. Step 5: Solve for x
    x = 152,877,042.52/15,800.96
  6. Step 6: Final answer
    x = 9,675.17

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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.