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Finding the Fourth Proportional to 24,347.68, 36,520.32 and 6,817.12

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Solution

The fourth proportional to 24,347.68, 36,520.32 and 6,817.12 is: 10,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,347.68 : 36,520.32 = 6,817.12 : x
  2. Step 2: Convert to fraction form
    24,347.68/36,520.32 = 6,817.12/x
  3. Step 3: Cross multiply
    24,347.68x = 36,520.32 × 6,817.12
  4. Step 4: Simplify right side
    24,347.68x = 248,963,403.88
  5. Step 5: Solve for x
    x = 248,963,403.88/24,347.68
  6. Step 6: Final answer
    x = 10,225.34

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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.