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Finding the Fourth Proportional to 22,957.86, 31,674.30 and 14,002.14

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Solution

The fourth proportional to 22,957.86, 31,674.30 and 14,002.14 is: 19,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.86 : 31,674.30 = 14,002.14 : x
  2. Step 2: Convert to fraction form
    22,957.86/31,674.30 = 14,002.14/x
  3. Step 3: Cross multiply
    22,957.86x = 31,674.30 × 14,002.14
  4. Step 4: Simplify right side
    22,957.86x = 443,507,983.00
  5. Step 5: Solve for x
    x = 443,507,983.00/22,957.86
  6. Step 6: Final answer
    x = 19,318.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.