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Finding the Fourth Proportional to 24,230.40, 36,341.37 and 6,461.28

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Solution

The fourth proportional to 24,230.40, 36,341.37 and 6,461.28 is: 9,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.40 : 36,341.37 = 6,461.28 : x
  2. Step 2: Convert to fraction form
    24,230.40/36,341.37 = 6,461.28/x
  3. Step 3: Cross multiply
    24,230.40x = 36,341.37 × 6,461.28
  4. Step 4: Simplify right side
    24,230.40x = 234,811,767.15
  5. Step 5: Solve for x
    x = 234,811,767.15/24,230.40
  6. Step 6: Final answer
    x = 9,690.79

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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.