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Finding the Fourth Proportional to 24,214.66, 36,323.80 and 6,684.32

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Solution

The fourth proportional to 24,214.66, 36,323.80 and 6,684.32 is: 10,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.66 : 36,323.80 = 6,684.32 : x
  2. Step 2: Convert to fraction form
    24,214.66/36,323.80 = 6,684.32/x
  3. Step 3: Cross multiply
    24,214.66x = 36,323.80 × 6,684.32
  4. Step 4: Simplify right side
    24,214.66x = 242,799,902.82
  5. Step 5: Solve for x
    x = 242,799,902.82/24,214.66
  6. Step 6: Final answer
    x = 10,026.98

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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.