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Finding the Fourth Proportional to 24,190.68, 36,281.76 and 6,656.34

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Solution

The fourth proportional to 24,190.68, 36,281.76 and 6,656.34 is: 9,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,190.68 : 36,281.76 = 6,656.34 : x
  2. Step 2: Convert to fraction form
    24,190.68/36,281.76 = 6,656.34/x
  3. Step 3: Cross multiply
    24,190.68x = 36,281.76 × 6,656.34
  4. Step 4: Simplify right side
    24,190.68x = 241,503,730.36
  5. Step 5: Solve for x
    x = 241,503,730.36/24,190.68
  6. Step 6: Final answer
    x = 9,983.34

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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.