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Finding the Fourth Proportional to 24,114.31, 36,180.16 and 12,857.81

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Solution

The fourth proportional to 24,114.31, 36,180.16 and 12,857.81 is: 19,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.31 : 36,180.16 = 12,857.81 : x
  2. Step 2: Convert to fraction form
    24,114.31/36,180.16 = 12,857.81/x
  3. Step 3: Cross multiply
    24,114.31x = 36,180.16 × 12,857.81
  4. Step 4: Simplify right side
    24,114.31x = 465,197,617.02
  5. Step 5: Solve for x
    x = 465,197,617.02/24,114.31
  6. Step 6: Final answer
    x = 19,291.35

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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.