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Finding the Fourth Proportional to 24,341.42, 36,487.21 and 9,530.16

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Solution

The fourth proportional to 24,341.42, 36,487.21 and 9,530.16 is: 14,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,341.42 : 36,487.21 = 9,530.16 : x
  2. Step 2: Convert to fraction form
    24,341.42/36,487.21 = 9,530.16/x
  3. Step 3: Cross multiply
    24,341.42x = 36,487.21 × 9,530.16
  4. Step 4: Simplify right side
    24,341.42x = 347,728,949.25
  5. Step 5: Solve for x
    x = 347,728,949.25/24,341.42
  6. Step 6: Final answer
    x = 14,285.48

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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.